59% of all violent felons in the prison system are repeat offenders. If 46 violent felons are randomly selected, find the probability that
a. Exactly 24 of them are repeat offenders.
b. At most 29 of them are repeat offenders.
c. At least 27 of them are repeat offenders.
d. Between 24 and 30 (including 24 and 30) of them are repeat
offenders.
In: Statistics and Probability
| Suppose that 27% of all steel shafts produced by a certain
process are nonconforming but can be reworked (rather than having
to be scrapped). |
| (a) | In a random sample of 167 shafts, find the approximate probability that between 30 and 54 (inclusive) are nonconforming and can be reworked. |
| (b) | In a random sample of 167 shafts, find the approximate probability that at least 48 are nonconforming and can be reworked. |
In: Statistics and Probability
***Please show the work in Excel***
Use the following data to construct a scatter diagram. Does there appear to be a relationship between hours of overtime and number of rejects? Discuss.
Hours of Overtime Number of Rejects
127 33
90 25
95 23
160 40
10 9
80 19
27 14
103 28
48 19
65 31
In: Accounting
just want to talk about three questions managers should answer when setting regular prices are:
What is the company’s target profit?
How much will customers pay?
Is the company a price-taker or a price-setter for this product or service?
In: Accounting
The Schmedley Discount Department Store has approximately 300 customers shopping in its store between 9 A.M. and 5 P.M. on Saturdays. In deciding how many cash registers to keep open each Saturday, Schmedley’s manager considers two factors: customer waiting time (and the associated waiting cost) and the service costs of employing additional checkout clerks. Checkout clerks are paid an average of $8 per hour. When only one is on duty, the waiting time per customer is about 10 minutes (or hour); when two clerks are on duty, the average checkout time is 6 minutes per person; 4 minutes when three clerks are working; and 3 minutes when four clerks are on duty. Schmedley’s management has conducted customer satisfaction surveys and has been able to estimate that the store suffers approximately $10 in lost sales and goodwill for every hour of customer time spent waiting in checkout lines.
Number of customers
Average waiting time (per customer)
Total customer waiting time
Cost per waiting hour
Total waiting cost
Checkout clerk hourly salary
Total pay of clerks for an 8-hour shift
Total expected cost
In: Finance
A garage sells three types of fuel: unleaded petrol, diesel and
tractor diesel. The probability that a randomly selected customer
will buy a particular fuel is shown in the table:
Fuel Probability
Unleaded 0.40
Diesel 0.45
Tractor Diesel 0.15
1. Find the probability that of two randomly selected customers:
(i) Both will buy diesel (ii) Exactly one will buy diesel 2. Find
the probability that of three randomly selected customers: (i) All
will buy unleaded (ii) Exactly two will buy diesel (ii) One will
buy tractor diesel, one will buy unleaded and one will buy
diesel
2. A mechanical device has a wearout time distributed normally with a mean of 1100 hours and a standard deviation of 50 hours. Find the values that constitute the central 95% of the wearout times.
In: Statistics and Probability
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 5.5 minutes. (a) Find the probability that a customer has to wait more than nine minutes. (Round your answer to three decimal places.)
(b) Find the probability that a customer is served within the first five minutes. (Round your answer to three decimal places.)
(c) The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 2% of her customers. What should the advertisement say? (Give your answer to the nearest integer that satisfies the conditions.) "If you aren't served within ???? minutes, you get a free hamburger."
In: Statistics and Probability
Allocating Selling and Administrative Expenses using Activity-Based Costing
Shrute Inc. manufactures office copiers, which are sold to retailers. The price and cost of goods sold for each copier are as follows:
Price$690 per unit
Cost of goods sold(410)
Gross profit$280 per unit
In addition, the company incurs selling and administrative expenses of $263,410. The company wishes to assign these costs to its three major retail customers, The Warehouse, Kosmo Co., and Supply Universe. These expenses are related to its three major nonmanufacturing activities: customer service, sales order processing, and advertising support. The advertising support is in the form of advertisements that are placed by Shrute Inc. to support the retailer's sale of Shrute copiers to consumers. The budgeted activity costs and activity bases associated with these activities are:
ActivityBudgeted Activity CostActivity Base
Customer service $30,030 Number of service requests
Sales order processing 27,880 Number of sales orders
Advertising support 205,500 Number of ads placed
Total activity cost $263,410
Activity-base usage and unit volume information for the three customers is as follows:
The WarehouseKosmo Co.Supply UniverseTotal
Number of service requests40 10 160 210
Number of sales orders230 100 490 820
Number of ads placed20 20 110 150
Unit volume690 690 690 2,070
Required:
1. Determine the activity rates for each of the three nonmanufacturing activities. Round to the nearest whole dollar.
Activity Rate
Customer Service$per serv. req.
Sales Order Processing$per sls. order
Advertising Support$per ad
2. Determine the activity costs allocated to the three customers, using the activity rates in (1).
Activity Costs
The Warehouse$
Kosmo Co.$
Supply Universe$
3. Construct customer profitability reports for the three customers, dated for the year ended December 31, using the activity costs in (2). The reports should disclose the gross profit and operating income associated with each customer.
Shrute Inc.
Customer Profitability Report
For the Year Ended December 31
The WarehouseKosmo Co.Supply Universe
Revenues$$$
Cost of goods sold
Gross profit$$$
Selling and administrative activities:
Customer service$$$
Sales order processing
Advertising support
Total selling and administrative activities$
Operating income$$$
In: Accounting
Presented below are three independent situations.
1. Ivanhoe Stamp Company records stamp service
revenue and provides for the cost of redemptions in the year stamps
are sold to licensees. Ivanhoe’s past experience indicates that
only 80% of the stamps sold to licensees will be redeemed.
Ivanhoe’s liability for stamp redemptions was $13,180,300 at
December 31, 2019. Additional information for 2020 is as
follows.
| Stamp service revenue from stamps sold to licensees | $10,060,100 | |
| Cost of redemptions (stamps sold prior to 1/1/20) | 5,935,600 |
If all the stamps sold in 2020 were presented for redemption in
2021, the redemption cost would be $5,191,300. What amount should
Ivanhoe report as a liability for stamp redemptions at December 31,
2020?
| Liability for stamp redemptions at December 31, 2020 | $ ???????????????? |
2. In packages of its products, Shamrock Inc.
includes coupons that may be presented at retail stores to obtain
discounts on other Shamrock products. Retailers are reimbursed for
the face amount of coupons redeemed plus 10% of that amount for
handling costs. Shamrock honors requests for coupon redemption by
retailers up to 3 months after the consumer expiration date.
Shamrock estimates that 60% of all coupons issued will ultimately
be redeemed. Information relating to coupons issued by Shamrock
during 2020 is as follows.
| Consumer expiration date | 12/31/20 | |
| Total face amount of coupons issued | $744,400 | |
| Total payments to retailers as of 12/31/20 | 320,560 |
What amount should Shamrock report as a liability for unredeemed
coupons at December 31, 2020?
| Liability for unredeemed coupons | $???????????????????? |
3. Bridgeport Company sold 692,300 boxes of pie
mix under a new sales promotional program. Each box contains one
coupon, which submitted with $4.50, entitles the customer to a
baking pan. Bridgeport pays $6.50 per pan and $1.00 for handling
and shipping. Bridgeport estimates that 70% of the coupons will be
redeemed, even though only 244,200 coupons had been processed
during 2020. What amount should Bridgeport report as a liability
for unredeemed coupons at December 31, 2020?
| Liability for unredeemed coupons at December 31, 2020 | $ ?????????????????/ |
In: Accounting
Gunst Company produces three video games: Android, Bio-Mutant, and Cyclops. Cost and revenue data pertaining to each product are as follows.
Android Bio-Mutant Cyclops
Selling price $100 $65 $125
Direct labor 48 24 60
Direct materials 9 8 16
Variable overhead 7 4 9
At the present time, demand for each of the company's products far exceeds its capacity to produce them. Thus, management is trying to determine which of its games to concentrate on next week in filling its backlog of orders. Gunst's direct labor rate is $12 per hour, and only 1,000 hours of direct labor are available each week.
Determine the maximum total contribution margin the company can make by its best use of the 1,000 available hours. (Do not round intermediate calculations.)
Total contribution Margin ________________?
In: Accounting