ForestLand Wood Products manufactures lumber and wood components. The company has two main product lines: Hardwood and Softwood. Hardwoods are used for flooring, cabinetry, paneling, doors and trimwork. Softwoods are used for wall studs, joists, planks, rafters, beams, stringers, posts, decking, subflooring and concrete forms. ForestLand also sells a by-product, wood shavings and saw dust. Shavings are purchased for farm and industrial use as well as for further processing into wood pellets and fiber board. The revenue is allocated to each product line based on the percentage of thousand board feet produced by the product line.
Your accounting firm has been retained by ForestLand for three years. You have been assigned to properly allocate support department costs. Your manager wants the allocation to be as accurate as possible and has instructed you to use the reciprocal services method. She reminds you that revenue from by-products are used to offset costs.
You begin your research and learn that there are four production departments: log yard, milling, drying, and packaging. The Hardwood line produces 300 thousand board feet of product while the Softwood produces 900 thousand board feet. The milling department direct costs, direct labor and overhead per thousand board feet for Hardwood is two times that of Softwood. You have been instructed to use the weighted average method to allocate the costs in the milling department between the two product lines. The remaining department costs are the same for both product lines, per thousand board feet.
There are two support departments: maintenance and administration. The maintenance department is responsible for maintaining all equipment and janitorial duties. Because the equipment is used more extensively for hardwoods, the department cost driver is hours worked. The administration department includes the company president and his staff. Their duties include accounting, human resources, and information technology. The cost driver for the administration department is number of employees.
In your first step, you determine the costs traced to each department and the usage of the support department cost drivers. You have created the following table:
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | ||
| Hours worked | 11,000 | 8,100 | 9,720 | 21,060 | 16,200 | 25,920 | |
| Number of employees | 6 | 4 | 4 | 10 | 12 | 8 | |
| Department costs | $176,000 | $216,275 | $309,940 | $747,000 | $433,160 | $224,000 |
Your next step is to determine the proportional usage of each support department's cost driver by the other departments to which its costs are to be allocated. Complete the following tables.
| Maintenance | |||
| Department | Hours Worked | Usage Percent | |
| Administration | % | ||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
| Administration | |||
| Department | # of Employees | Usage Percent | |
| Maintenance | % | ||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
Using the cells below, create the formulas that will simultaneously allocate support department costs among the departments. "M" represents Maintenance and "A" represents Administration.
M = $ + (% )
A = $ + (% )
Solve the equations, If required round any decimal to three places in your computations. For example, .0183 would be rounded to .018. Round your final answer to the nearest dollar.
M = $
A = $
Use the following table to allocate the support cost departments. Round allocated amounts to the nearest whole dollar. If an amount is zero, enter "0".
| Support Departments | Production Departments | |||||||
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | |||
| Hours worked | ||||||||
| Number of employees | ||||||||
| Department cost | $ | $ | $ | $ | $ | $ | ||
| Maintenance | ||||||||
| Administration | ||||||||
| Final department costs | $ | $ | $ | $ | $ | $ | ||
Using the rounded amounts from the support cost allocation table (previous task), complete the following table to allocate the production department costs to each product line. Round allocated amounts to the nearest whole dollar.
| Thousand Board Feet |
Weight Factor |
Weighted Thous. Bd. Ft. |
Weighted % of Board Feet |
Final Department Costs |
Cost Allocation to Product Line |
||||
| Log Yard: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Log Yard | % | $ | |||||||
| Milling: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Milling | % | $ | |||||||
| Drying: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Drying | % | $ | |||||||
| Packaging: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Packaging | % | $ |
Forest Land earns revenue of $100,000 from selling its by-products, wood shavings and saw dust. Allocate the revenue to each product line in the following table and determine the final cost per product line.
| Thousand Board Feet |
Percentage of Board Feet |
By-product Revenue |
Portion of By- product Revenue |
|||
| Hardwood | % | $100,000 | $ | |||
| Softwood | 100,000 | |||||
| Total | % | $ | ||||
| Cost per Product Line | |||
| Hardwood | Softwood | ||
| Log Yard | $ | $ | |
| Milling | |||
| Drying | |||
| Packaging | |||
| Subtotal | $ | $ | |
| Portion of By-product revenue | |||
| Total cost per product line | $ | $ | |
In: Accounting
ForestLand Wood Products manufactures lumber and wood components. The company has two main product lines: Hardwood and Softwood. Hardwoods are used for flooring, cabinetry, paneling, doors and trimwork. Softwoods are used for wall studs, joists, planks, rafters, beams, stringers, posts, decking, subflooring and concrete forms. ForestLand also sells a by-product, wood shavings and saw dust. Shavings are purchased for farm and industrial use as well as for further processing into wood pellets and fiber board. The revenue is allocated to each product line based on the percentage of thousand board feet produced by the product line.
Your accounting firm has been retained by ForestLand for three years. You have been assigned to properly allocate support department costs. Your manager wants the allocation to be as accurate as possible and has instructed you to use the reciprocal services method. She reminds you that revenue from by-products are used to offset costs.
You begin your research and learn that there are four production departments: log yard, milling, drying, and packaging. The Hardwood line produces 300 thousand board feet of product while the Softwood produces 900 thousand board feet. The milling department direct costs, direct labor and overhead per thousand board feet for Hardwood is two times that of Softwood. You have been instructed to use the weighted average method to allocate the costs in the milling department between the two product lines. The remaining department costs are the same for both product lines, per thousand board feet.
There are two support departments: maintenance and administration. The maintenance department is responsible for maintaining all equipment and janitorial duties. Because the equipment is used more extensively for hardwoods, the department cost driver is hours worked. The administration department includes the company president and his staff. Their duties include accounting, human resources, and information technology. The cost driver for the administration department is number of employees.
In your first step, you determine the costs traced to each department and the usage of the support department cost drivers. You have created the following table:
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | ||
| Hours worked | 10,750 | 8,100 | 9,720 | 21,060 | 25,920 | 16,200 | |
| Number of employees | 6 | 4 | 4 | 10 | 12 | 8 | |
| Department costs | $176,000 | $216,275 | $309,940 | $747,000 | $433,160 | $224,000 |
Your next step is to determine the proportional usage of each support department's cost driver by the other departments to which its costs are to be allocated. Complete the following tables.
| Maintenance | |||
| Department | Hours Worked | Usage Percent | |
| Administration | % | ||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
| Administration | |||
| Department | # of Employees | Usage Percent | |
| Maintenance | % | ||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
Using the cells below, create the formulas that will simultaneously allocate support department costs among the departments. "M" represents Maintenance and "A" represents Administration.
M = $ + (% A )
A = $ + (% M )
Solve the equations, If required round any decimal to three places in your computations. For example, .0183 would be rounded to .018. Round your final answer to the nearest dollar.
M = $
A = $
Use the following table to allocate the support cost departments. Round allocated amounts to the nearest whole dollar. If an amount is zero, enter "0".
| Support Departments | Production Departments | |||||||
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | |||
| Hours worked | ||||||||
| Number of employees | ||||||||
| Department cost | $ | $ | $ | $ | $ | $ | ||
| Maintenance | ||||||||
| Administration | ||||||||
| Final department costs | $ | $ | $ | $ | $ | $ | ||
Using the rounded amounts from the support cost allocation table (previous task), complete the following table to allocate the production department costs to each product line. Round allocated amounts to the nearest whole dollar.
| Thousand Board Feet |
Weight Factor |
Weighted Thous. Bd. Ft. |
Weighted % of Board Feet |
Final Department Costs |
Cost Allocation to Product Line |
||||
| Log Yard: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Log Yard | % | $ | |||||||
| Milling: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Milling | % | $ | |||||||
| Drying: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Drying | % | $ | |||||||
| Packaging: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Packaging | % | $ |
Forest Land earns revenue of $100,000 from selling its by-products, wood shavings and saw dust. Allocate the revenue to each product line in the following table and determine the final cost per product line.
| Thousand Board Feet |
Percentage of Board Feet |
By-product Revenue |
Portion of By- product Revenue |
|||
| Hardwood | % | $100,000 | $ | |||
| Softwood | 100,000 | |||||
| Total | % | $ | ||||
| Cost per Product Line | |||
| Hardwood | Softwood | ||
| Log Yard | $ | $ | |
| Milling | |||
| Drying | |||
| Packaging | |||
| Subtotal | $ | $ | |
| Portion of By-product revenue | |||
| Total cost per product line | $ | $ | |
In: Accounting
MetFast enters into an agreement with Traveler Inc. to lease a
car on December 31, 2019. The following information relates to this
agreement.
| 1. | The term of the non-cancelable lease is 3 years with no renewal or bargain purchase option. The remaining economic life of the car is 3 years, and it is expected to have no residual value at the end of the lease term. | |
| 2. | The fair value of the car was $15,270 at commencement of the lease. | |
| 3. | Annual payments are required to be made on December 31 at the end of each year of the lease, beginning December 31, 2020. The first payment is to be of an amount of $5,652.82, with each payment increasing by a constant rate of 5% from the previous payment (i.e., the second payment will be $5,935.46 and the third and final payment will be $6,232.23). | |
| 4. | MetFast incremental borrowing rate is 8%. The rate implicit in the lease is unknown. | |
| 5. | MetFast uses straight-line depreciation for all similar cars. |
(a)
Prepare MetFast journal entries for 2019, 2020, and 2021.
(Credit account titles are automatically indented when
the amount is entered. Do not indent manually. For calculation
purposes, use 5 decimal places as displayed in the factor table
provided and round final answers to 2 decimal places, e.g.
5,275.25. Record journal entries in the order presented in the
problem.)
Click here to view factor tables.
|
Date |
Account Titles and Explanation |
Debit |
Credit |
|
|---|---|---|---|---|
|
choose a transaction date 12/31/1912/31/2012/31/21 |
enter an account title |
enter a debit amount |
enter a credit amount |
|
|
enter an account title |
enter a debit amount |
enter a credit amount |
||
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
|
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
||
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
||
|
(To record interest expense) |
||||
|
choose a transaction date 12/31/1912/31/2012/31/21 |
enter an account title to record amortization of the right-of-use asset |
enter a debit amount |
enter a credit amount |
|
|
enter an account title to record amortization of the right-of-use asset |
enter a debit amount |
enter a credit amount |
||
|
(To record amortization of the right-of-use asset) |
||||
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
|
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
||
|
enter an account title to record interest expense |
enter a debit amount |
enter a credit amount |
||
|
(To record interest expense) |
||||
|
choose a transaction date 12/31/1912/31/2012/31/21 |
enter an account title to record amortization of the right-of-use asset |
enter a debit amount |
enter a credit amount |
|
|
enter an account title to record amortization of the right-of-use asset |
enter a debit amount |
enter a credit amount |
||
|
(To record amortization of the right-of-use asset) |
These are the accounts that can be used:
In: Accounting
1) Suppose two firms operate a duopoly-cartel. They decide they do not trust each other enough to form a cartel and act like a monopoly. They agree acting only in their self-interest is harms them both. By compromising, the price they sell their product as will be
Select one:
a. equal to the monopoly price
b. less than the monopoly price
c. equal to the perfectly competitive market price
d. more than the monopoly price
2) When total revenue is greater than total variable cost, a firm in a competitive market will
Select one:
a. shut down if average revenue exceeds marginal cost
b. shut down
c. continue to operate at a loss
d. continue to operate as long as average revenue exceeds average fixed cost
3) Profit-maximising firms enter a competitive market when:
Select one:
a. total revenue for existing firms in the market exceeds their total fixed costs
b. price exceeds average total cost for existing firms in the market
c. total revenue for existing firms in the market exceeds their total variable costs
d. average revenue is less than average total cost for existing firms in the market
4) Suppose a competitive market experiences an increase in demand. This induces an increase in producer costs. Which of the following is most likely to occur?
Select one:
a. The condition of free entry into the market will be violated
b. The long-run market supply curve will be upward sloping
c. Some firms will not be price-takers
d. Producer profits must fall in the long run
5) An important difference between natural monopolies and other forms of monopoly, is they are
Select one:
a. unable to make a profit without a government subsidy
b. not subject to regulations by the government
c. typically unconcerned about competition eroding their monopoly position
d. not subject to barriers to entry
6) Suppose a monopoly changes changes its pricing strategy. It now uses a price-discrimination strategy. This will cause
Select one:
a. the consumer surplus to increase
b. the output sold to increase
c. the deadweight loss to increase
d. the profit to decrease
7) Economic losses in a monopolistically competitive market are
Select one:
a. only possible of collusion between firms cannot be maintained
b. a signal to some incumbent firms to exit the market
c. a signal for new firms to enter the market
d. are never possible in the short run
8) The only way a cartel is able to maintain its market power is if:
Select one:
a. the government uses competition laws to break-up the cartel
b. the product has an inelastic demand curve
c. the product has a horizontal demand curve
d. all the cartel members continue to cooperate
9) What is the monopolist's profit under the following conditions?
Select one:
a. $1350
b. $1800
c. $1200
d. $450
10)
Suppose a Government agency is undertaking a cost-benefit analysis on a new toll road. Which of the following costs or benefits would be the hardest to estimate?
Select one:
a. The cost of adding cycle lanes to the road.
b. The reduction in road deaths generated by the improved road design
c. The labour costs of building the road
d. The reduction in fuel spending by trucking companies using the road
11)
Suppose a farmer decides to convert their sheep farm to a vineyard to grow grapes. The amount of money the farmer could have earned by sheep farming instead is called
Select one:
a. an accounting cost
b. an explicit cost
c. an implicit cost
d. a variable cost
12)
Tamati owns a car-detailing business. In summer demand for detailing is highest. Tamati hires students to help him detail cars in summer. If Tamati works by himself he can detail 20 cars in a week. If he hires one worker, the two of them will detail 35 cars over a week. A second worker increases that to 47 cars. The third worker increases that to 57 cars. The fourth worker increases the total to 65 cars.
The marginal product of the first worker is
Select one:
a. 8 cars per week
b. 15 cars per week
c. 12 cars per week
d. 10 cars per week
In: Economics
-PLEASE SHOW ALL WORK-
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 217 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.
(i) Test the claim that p is less than 0.301. Use α = 0.10.
---(a) What is the level of significance?
---(b) State the null and alternate hypotheses.
-Ho : p = 0.301; H : p ≠ 0.301
-Ho : p = 0.301; H : p < 0.301
-Ho : p = 0.301; H : p > 0.301
-Ho : p < 0.301; H : p = 0.301
---(c) What sampling distribution will you use?
-The standard normal, since np > 5 and nq > 5.
-The Student's t, since np < 5 and nq < 5.
-The standard normal, since np < 5 and nq < 5.
-The Student's t, since np > 5 and nq > 5.
--------What is the value of the sample test statistic? (Round your answer to two decimal places.)
---(d) Find the P-value of the test statistic. (Round your answer to four decimal places.)
--------Sketch the sampling distribution and show the area corresponding to the P-value.
---(e) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
-At the α = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.
-At the α = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.
-At the α = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
-At the α = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
---(f) Interpret your conclusion in the context of the application.
-There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301.
-There is insufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301
(ii) If p is in fact less than 0.301, would it make you suspect that there are not enough numbers in the data file with leading 1's? Could this indicate that the books have been "cooked" by "pumping up" or inflating the numbers? Comment from the viewpoint of a stockholder. Comment from the perspective of the Federal Bureau of Investigation as it looks for money laundering in the form of false profits
-No. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's law predicts.
-No. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.
-Yes. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's law predicts.
-Yes. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.
(iii) Comment on the following statement: If we reject the null hypothesis at level of significance α, we have not proved Ho to be false. We can say that the probability is α that we made a mistake in rejecting H . Based on the outcome of the test, would you recommend further investigation before accusing the company of fraud?
-We have not proved Ho to be false. Because our data lead us to reject the null hypothesis, more investigation is not merited.
-We have not proved Ho to be false. Because our data lead us to reject the null hypothesis, more investigation is merited.
-We have proved Ho to be false. Because our data lead us to reject the null hypothesis, more investigation is not merited.
-We have not proved Ho to be false. Because our data lead us to accept the null hypothesis, more investigation is not merited.
In: Statistics and Probability
Question: ForestLand Wood Products manufactures lumber and wood components. The company has two main produc...
ForestLand Wood Products manufactures lumber and wood components. The company has two main product lines: Hardwood and Softwood. Hardwoods are used for flooring, cabinetry, paneling, doors and trimwork. Softwoods are used for wall studs, joists, planks, rafters, beams, stringers, posts, decking, subflooring and concrete forms. ForestLand also sells a by-product, wood shavings and saw dust. Shavings are purchased for farm and industrial use as well as for further processing into wood pellets and fiber board. The revenue is allocated to each product line based on the percentage of thousand board feet produced by the product line.
Your accounting firm has been retained by ForestLand for three years. You have been assigned to properly allocate support department costs. Your manager wants the allocation to be as accurate as possible and has instructed you to use the reciprocal services method. She reminds you that revenue from by-products are used to offset costs.
You begin your research and learn that there are four production departments: log yard, milling, drying, and packaging. The Hardwood line produces 300 thousand board feet of product while the Softwood produces 900 thousand board feet. The milling department direct costs, direct labor and overhead per thousand board feet for Hardwood is two times that of Softwood. You have been instructed to use the weighted average method to allocate the costs in the milling department between the two product lines. The remaining department costs are the same for both product lines, per thousand board feet.
There are two support departments: maintenance and administration. The maintenance department is responsible for maintaining all equipment and janitorial duties. Because the equipment is used more extensively for hardwoods, the department cost driver is hours worked. The administration department includes the company president and his staff. Their duties include accounting, human resources, and information technology. The cost driver for the administration department is number of employees.
In your first step, you determine the costs traced to each department and the usage of the support department cost drivers. You have created the following table:
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | ||
| Hours worked | 11,000 | 8,100 | 9,720 | 21,060 | 16,200 | 25,920 | |
| Number of employees | 8 | 5 | 6 | 12 | 16 | 8 | |
| Department costs | $205,600 | $248,600 | $369,200 | $835,100 | $508,700 | $290,100 |
Your next step is to determine the proportional usage of each support department's cost driver by the other departments to which its costs are to be allocated. Complete the following tables.
| Maintenance | |||
| Department | Usage Percent | ||
| % | |||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
| Administration | |||
| Department | Usage Percent | ||
| % | |||
| Log Yard | |||
| Milling | |||
| Drying | |||
| Packaging | |||
| Totals | % | ||
Using the cells below, create the formulas that will simultaneously allocate support department costs among the departments. "M" represents Maintenance and "A" represents Administration.
M = $ + (% )
A = $ + (% )
Solve the equations, If required round any decimal to three places in your computations. For example, .0183 would be rounded to .018. Round your final answer to the nearest dollar.
M = $
A = $
Use the following table to allocate the support cost departments. Round allocated amounts to the nearest whole dollar. If an amount is zero, enter "0".
| Support Departments | Production Departments | |||||||
| Maintenance | Administration | Log Yard | Milling | Drying | Packaging | |||
| Hours worked | ||||||||
| Number of employees | ||||||||
| Department cost | $ | $ | $ | $ | $ | $ | ||
| Maintenance | ||||||||
| Administration | ||||||||
| Final department costs | $ | $ | $ | $ | $ | $ | ||
Using the rounded amounts from the support cost allocation table (previous task), complete the following table to allocate the production department costs to each product line. Round allocated amounts to the nearest whole dollar.
| Thousand Board Feet |
Weight Factor |
Weighted Thous. Bd. Ft. |
Weighted % of Board Feet |
Final Department Costs |
Cost Allocation to Product Line |
||||
| Log Yard: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Log Yard | % | $ | |||||||
| Milling: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Milling | % | $ | |||||||
| Drying: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Drying | % | $ | |||||||
| Packaging: | |||||||||
| Hardwood | % | × | $ | $ | |||||
| Softwood | × | ||||||||
| Total Packaging | % | $ |
Forest Land earns revenue of $100,000 from selling its by-products, wood shavings and saw dust. Allocate the revenue to each product line in the following table and determine the final cost per product line.
| Thousand Board Feet |
Percentage of Board Feet |
By-product Revenue |
Portion of By- product Revenue |
|||
| Hardwood | % | $100,000 | $ | |||
| Softwood | 100,000 | |||||
| Total | % | $ | ||||
| Cost per Product Line | |||
| Hardwood | Softwood | ||
| Log Yard | $ | $ | |
| Milling | |||
| Drying | |||
| Packaging | |||
| Subtotal | $ | $ | |
| Portion of By-product revenue | |||
| Total cost per product line | $ | $ | |
In: Accounting
American Airlines. (AA) is an airline that operates direct, daily flights between Los Angeles (LAX) and London Heathrow (LHR) airports. AA offers only business-class tickets and service on all of its flights. On the LAX-LHR route, AA flies Airbus 320 plane configured to have a capacity of 100 business-class seats.
AA sells tickets on LAX-LHR route at $3000 and offers a generous, 90% “last-minute cancellation” policy. In particular, under such policy, a customer may cancel her flight up to 30 minutes before the departure time and receive back 90% of the $3000 fare she paid. As a result, AA is able to sell many more tickets than its plane capacity. The downside is that customers who purchased tickets may not all show up for the flight.
To better manage the profitability of its LAX-LHR route in the presence of last-minute cancellations, AA uses “overbooking,” that involves selling more tickets than 100 seats on its plane. In particular, AA would like to compare two overbooking options: 1) selling T=110 tickets, and 2) selling T=115 tickets. AA is confident that, given the moderate business-class fare it charges and a generous cancellation policy it offers, it can always sell those numbers of tickets.
The sequence of events in the presence of overbooking is as follows:
·Tickets are sold to T potential passengers at the price of $3000 each
·At about 30 minutes prior to departure, the number of customers who actually show up for the flight, A, is revealed (0≤A≤T) and the refund of $2700 is paid to each of T-A customers who did not show up
·If A≤ 100, the plane takes off with A customers on board
·If A>100, the airline asks for A-100 volunteers to release their seats and to accept alternative flight arrangements, for additional compensation. As a result of this process, the airline pays to each of A-100 volunteers the compensation of $5000, and the plane takes off with 100 customers on board.
Thus, the revenue that AA earns for a particular flight depends on the values of T and A, and consists of three components: the initial revenue from selling tickets minus the refund, if any, paid for last-minute cancellations, and minus the additional compensation, if any, paid to customers asked to release their seats.
1) Suppose that AA decides to use Option 1 (i.e., sell T=110) tickets, and the number of customers who show up for the flight is 100. What is the revenue that AA will earn for this flight, in $? Round your answer to the closest integer value.
2) Suppose that AA decides to use Option 2 (i.e., sell T=115) tickets, and the number of customers who show up for the flight is 105. What is the revenue that AA will earn for this flight, in $? Round your answer to the closest integer value.
3) Zero Management is a business analyst working for AA who was assigned a task of comparing the two overbooking options described above. Zero has decided to design a simulation model that assumes that each of T customers who bought tickets has a probability of 0.9 of actually showing up for the flight, and that each customer makes a decision to show up for the flight independently of other customers. A statistician working for AA explained to Zero that, under these assumptions, the number of customers who actually show up for the flight, A, is a binomial random variable that can take integer values 0,1,2,… T, and that has the expected value of 0.9*T.
Suppose that the AA decides to use Option 1 (T=110). Let A be the number of customers who actually show up for the flight under this option. The algebraic expression for the revenue that AA earns for this flight, in $, is
a) 330,000 – 2,700*(100-A) – 5,000*IF(A<100, 0, A-100)
b) 330,000 – 2,700*(110-A) – 5,000*IF(A<110, 0, A-110)
c) 330,000 – 2,700*(110-A) – 5,000*IF(A<100, 0, A-100)
d) 330,000 – 2,700*(100-A) – 5,000*IF(A<110, 0, A-110)
4) Consider Option 1 (T=110). If it is possible for A to take integer values 0,1,2,…,110, what is the maximum possible revenue, in $, that AA can earn for a flight? Choose the closest value.
a) 330,000
b) 303,000
c) 300,000
d) 280,000
e) 270,600
5) Consider Option 1 (T=110). If it is possible for A to take integer values 0,1,2,…,110, what is the minimum possible revenue that AA can earn for a flight? Choose the closest value.
a) 303,000
b) 280,000
c) 270,600
d) 33,000
e) 0
In: Civil Engineering
Recall that Benford's Law claims that numbers chosen from very
large data files tend to have "1" as the first nonzero digit
disproportionately often. In fact, research has shown that if you
randomly draw a number from a very large data file, the probability
of getting a number with "1" as the leading digit is about 0.301.
Now suppose you are an auditor for a very large corporation. The
revenue report involves millions of numbers in a large computer
file. Let us say you took a random sample of n = 216
numerical entries from the file and r = 52 of the entries
had a first nonzero digit of 1. Let p represent the
population proportion of all numbers in the corporate file that
have a first nonzero digit of 1.
(i) Test the claim that p is less than 0.301. Use
α = 0.10.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.301; H1: p < 0.301
H0: p = 0.301; H1: p ≠ 0.301
H0: p < 0.301; H1: p = 0.301
H0: p = 0.301; H1: p > 0.301
(b) What sampling distribution will you use?
The Student's t, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
The standard normal, since np < 5 and nq < 5.
What is the value of the sample test statistic? (Round your answer
to two decimal places.)
(c) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to
the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
At the α = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the α = 0.10 level, we fail to reject the null hypothesis and
conclude the data are statistically significant.
At the α = 0.10 level, we fail to reject the null hypothesis and
conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the
application.
There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301.
There is insufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301.
(ii) If p is in fact less than 0.301, would it make you
suspect that there are not enough numbers in the data file with
leading 1's? Could this indicate that the books have been "cooked"
by "pumping up" or inflating the numbers? Comment from the
viewpoint of a stockholder. Comment from the perspective of the
Federal Bureau of Investigation as it looks for money laundering in
the form of false profits.
No. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.
No. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's law predicts.
Yes. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.
Yes. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's law predicts.
(iii) Comment on the following statement: If we reject the null
hypothesis at level of significance α, we have not proved
Ho to be false. We can say that the probability
is α that we made a mistake in rejecting Ho.
Based on the outcome of the test, would you recommend further
investigation before accusing the company of fraud?
We have not proved H0 to be false. Because our data lead us to reject the null hypothesis, more investigation is merited.
We have proved H0 to be false. Because our data lead us to reject the null hypothesis, more investigation is not merited.
We have not proved H0 to be false. Because our data lead us to reject the null hypothesis, more investigation is not merited.
We have not proved H0 to be false. Because our data lead us to accept the null hypothesis, more investigation is not merited.
In: Math
Bug-Off Exterminators provides pest control services and sells extermination products manufactured by other companies. Following is the company's unadjusted trial balance as of December 31, 2019. December 31, 2019 Unadjusted Trial Balance Cash $ 20,000 Accounts receivable 5,500 Allowance for doubtful accounts $ 858 Merchandise inventory 16,200 Trucks 47,000 Accum. depreciation—Trucks 0 Equipment 92,400 Accum. depreciation—Equipment 24,200 Accounts payable 5,750 Estimated warranty liability 2,150 Unearned services revenue 0 Interest payable 0 Long-term notes payable 30,000 Common stock 25,000 Retained earnings 68,800 Dividends 25,000 Extermination services revenue 90,000 Interest revenue 902 Sales (of merchandise) 109,826 Cost of goods sold 50,800 Depreciation expense—Trucks 0 Depreciation expense—Equipment 0 Wages expense 50,000 Interest expense 0 Rent expense 24,000 Bad debts expense 0 Miscellaneous expense 1,286 Repairs expense 15,500 Utilities expense 9,800 Warranty expense 0 Totals $ 357,486 $ 357,486 The following information in a through h applies to the company at the end of the current year. The bank reconciliation as of December 31, 2019, includes the following facts. Cash balance per bank $ 16,600 Cash balance per books 20,000 Outstanding checks 2,550 Deposit in transit 3,200 Interest earned (on bank account) 82 Bank service charges (miscellaneous expense) 30 Reported on the bank statement is a canceled check that the company failed to record. (Information from the bank reconciliation allows you to determine the amount of this check, which is a payment on an account payable.) An examination of customers’ accounts shows that accounts totaling $694 should be written off as uncollectible. Using an aging of receivables, the company determines that the ending balance of the Allowance for Doubtful Accounts should be $775. A truck is purchased and placed in service on January 1, 2019. Its cost is being depreciated with the straight-line method using the following facts and estimates. Original cost $ 39,500 Expected salvage value $ 14,000 Useful life (years) 4 Two items of equipment (a sprayer and an injector) were purchased and put into service in early January 2017. They are being depreciated with the straight-line method using these facts and estimates. Sprayer Injector Original cost $ 39,000 $ 21,000 Expected salvage value $ 3,000 $ 4,000 Useful life (years) 8 5 On September 1, 2019, the company is paid $20,700 cash in advance to provide monthly service for an apartment complex for one year. The company began providing the services in September. When the cash was received, the full amount was credited to the Extermination Services Revenue account. The company offers a warranty for the services it sells. The expected cost of providing warranty service is 2.5% of the extermination services revenue of $76,200 for 2019. No warranty expense has been recorded for 2019. All costs of servicing warranties in 2019 were properly debited to the Estimated Warranty Liability account. The $22,500 long-term note is an 8%, five-year, interest-bearing note with interest payable annually on December 31. The note was signed with First National Bank on December 31, 2019. The ending inventory of merchandise is counted and determined to have a cost of $16,200. Bug-Off uses a perpetual inventory system. Required: 1. Determine amounts for the following items: Correct (reconciled) ending balance of Cash; and the amount of the omitted check. Adjustment needed to obtain the correct ending balance of the Allowance for Doubtful Accounts. Depreciation expense for the truck used during year 2019. Depreciation expense for the two items of equipment used during year 2019. The adjusted 2019 ending balances of the Extermination Services Revenue and Unearned Services Revenue accounts. The adjusted 2019 ending balances of the accounts for Warranty Expense and Estimated Warranty Liability. The adjusted 2019 ending balances of the accounts for Interest Expense and Interest Payable. 2. Use the results of part 1 to complete the six-column table by first entering the appropriate adjustments for items a through g and then completing the adjusted trial balance columns. Hint: Item b requires two adjustments. 3. Prepare journal entries to record the adjustments entered on the six-column table. Assume Bug-Off’s adjusted balance for Merchandise Inventory matches the year-end physical count. 4a. Prepare a single-step income statement for year 2019. 4b. Prepare the statement of retained earnings (cash dividends during 2019 were $25,000) for 2019. 4c. Prepare a classified balance sheet as at 2019.
In: Accounting
Geographic area: Thailand
Health Condition: Between 1989 abd 1990, the proportion of direct
sex workers in THailand ingected the HIV tripled. From 3.5% to 9.3%
and a year later reached 21.6%. Over the same period the proportion
of male conscripts already ingected with HIC when tested on entry
at age 21 rose sixfold, from 0.5% in 1989 to 3% in 1991.
Global importance of the health condition today: HIV?AIDS is one of
the greates threats to human health worldwide, with an estimated
38.6 million people infected with the virus in 2005. The vast
majority of people with HIV are in sub-Saharan Africa, where the
life expectancy today is just 47 years' without AIDS, it is
estimated that life expectancy would be 15 years longer. THe number
of children who have lost a parent to AIDS is now estimated at 20
million.
Internvention or program: In 1991, the National AIDS committee led
by Thailland's prime minister implemented the "100% condome
program," in which all sex workers in sex establishments are
required to use condoms with clients. Health officials provided
boxes of condoms free of charge, and local police held meetings
with sex establishments owners and sex workers, despite the
illegality of prostitution. Men seeling treatment for sexually
transmitted infections (STIs) were asked to name the sex
establishment they had used, and health officials would then visit
the establishment to provide more information.
Cost and cost-effectiveness: Total governemtn expenditure on the
national AIDS program remained stead at approx $375 million from
1998 to 2001, with the majority spent on treatment and care (65%);
this investment represents 109% of the nation's overall health
budget.
Impact: Condom use in sex work nationwide increased from 14% in
early 1989 to more than 90% by June 1992. An estimated 200,000 new
ingections were averted between 1993 and 2000. The number if new
STI cases fell from 200,000 in 1989 to 15,000 in 2001; the rate of
new HIV infections fell fivefold between 1991 and 1995.
You will write an overview essay on what the case study was regarding, what you learned from it, and what you would do for the future.
Essays should be similar to the “conclusion” section of a paper and be approximately 1-2 paragraphs long.
Geographic area: Thailand
Health Condition: Between 1989 abd 1990, the proportion of direct
sex workers in THailand ingected the HIV tripled. From 3.5% to 9.3%
and a year later reached 21.6%. Over the same period the proportion
of male conscripts already ingected with HIC when tested on entry
at age 21 rose sixfold, from 0.5% in 1989 to 3% in 1991.
Global importance of the health condition today: HIV?AIDS is one of
the greates threats to human health worldwide, with an estimated
38.6 million people infected with the virus in 2005. The vast
majority of people with HIV are in sub-Saharan Africa, where the
life expectancy today is just 47 years' without AIDS, it is
estimated that life expectancy would be 15 years longer. THe number
of children who have lost a parent to AIDS is now estimated at 20
million.
Internvention or program: In 1991, the National AIDS committee led
by Thailland's prime minister implemented the "100% condome
program," in which all sex workers in sex establishments are
required to use condoms with clients. Health officials provided
boxes of condoms free of charge, and local police held meetings
with sex establishments owners and sex workers, despite the
illegality of prostitution. Men seeling treatment for sexually
transmitted infections (STIs) were asked to name the sex
establishment they had used, and health officials would then visit
the establishment to provide more information.
Cost and cost-effectiveness: Total governemtn expenditure on the
national AIDS program remained stead at approx $375 million from
1998 to 2001, with the majority spent on treatment and care (65%);
this investment represents 109% of the nation's overall health
budget.
Impact: Condom use in sex work nationwide increased from 14% in
early 1989 to more than 90% by June 1992. An estimated 200,000 new
ingections were averted between 1993 and 2000. The number if new
STI cases fell from 200,000 in 1989 to 15,000 in 2001; the rate of
new HIV infections fell fivefold between 1991 and 1995.
You will write an overview essay on what the case study was regarding, what you learned from it, and what you would do for the future.
Essays should be similar to the “conclusion” section of a paper and be approximately 1-2 paragraphs long.
In: Nursing