theme park owner wants to know if the children’s rides are favoring 10 year old girls over 10 year old boys based on height. In other words, does one group taller than the other and thus can go on more rides?

Part a: The owner gathered height data on 10 year old girls and 10 year old boys, see data below. Determine at the 5% significance level if there is evidence that the two genders are not the same height and thus cannot all go on the same rides. Show your work and give your answer in complete sentences in context of the problem.

Part b: After doing some research, the owner found the following information about the expected height and standard deviation for 10 year olds. Does that change the result of part a? Show your work and give your answer in complete sentences in context of the problem.

use c++

Parking charge application: A parking garage charges a $20.00 minimum fee to park for up to 3 hours. The garage charges an additional $5.00 per hour for hour or part thereof in excess of 3 hours. The maximum charge for any given 24-hour period is $50.00. Assume that no car parks for longer than 24 hours at a time. Write a program that calculates and prints the parking charge for each of 3 customers who parked their cars in this garage yesterday. You should enter the hours parked for each customer. Your program should save the result in a array of Customer. The class customer is the following:

class customer{ string plate; float hour; float fee; }

Your program should use the function calculateCharges to determine the fee for each customer. You should print the result for the 3 customers in the following format:

Plate Hours Charge

132AAC 1.5 20.00

236URT 4.0 25.00

390ROP 24.0 50.00

TOTAL 29.5 95.00

In doing this question make sure to keep the array of customer as global variable.

Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $22.00 per ball, of which 69% is direct labor cost.

Last year, the company sold 30,000 of these balls, with the following results:

Required:

1. Compute (a) last year's CM ratio and the break-even point in balls, and (b) the degree of operating leverage at last year’s sales level.

CM RATIO = 31.25%

UNIT SALES TO BREAK EVEN = ? BALLS

DEGREE OF OPERATING LEVERAGE = ?

2. Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If this change takes place and the selling price per ball remains constant at $32.00, what will be next year's CM ratio and the break-even point in balls?

CM RATIO = ?

UNIT OF SALES TO BREAK EVEN = ? BALLS

3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $90,000, as last year?

NUMBER OF BALLS = ?

4. Refer again to the data in (2) above. The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year (as computed in requirement 1a), what selling price per ball must it charge next year to cover the increased labor costs?

SELLING PRICE = ?

5. Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by 31.25%, but it would cause fixed expenses per year to double. If the new plant is built, what would be the company’s new CM ratio and new break-even point in balls?

CM RATIO = ? %

UNIT OF SALES TO BREAK EVEN = ? BALLS

6. Refer to the data in (5) above.

a. If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $90,000, as last year?

NUMBER OF BALLS = ?

b. Assume the new plant is built and that next year the company manufactures and sells 30,000 balls (the same number as sold last year). Prepare a contribution format income statement and Compute the degree of operating leverage.

NORTHWOOD COMPANY

CONTRIBUTION INCOME STATEMENT =

hw 3.2

Northwood Company manufactures basketballs. The company has a ball that sells for $30. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $18.00 per ball, of which 60% is direct labor cost.

Last year, the company sold 50,000 of these balls, with the following results:

Northwood Company manufactures basketballs. The company has a ball that sells for $25. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $15.00 per ball, of which 60% is direct labor cost.

Last year, the company sold 56,000 of these balls, with the following results:

Required:

1. Compute (a) last year's CM ratio and the break-even point in balls, and (b) the degree of operating leverage at last year’s sales level.

2. Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If this change takes place and the selling price per ball remains constant at $25.00, what will be next year's CM ratio and the break-even point in balls?

3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $187,000, as last year?

4. Refer again to the data in (2) above. The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year (as computed in requirement 1a), what selling price per ball must it charge next year to cover the increased labor costs?3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $187,000, as last year?

5. Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by 40.00%, but it would cause fixed expenses per year to double. If the new plant is built, what would be the company’s new CM ratio and new break-even point in balls?

6. Refer to the data in (5) above.

a. If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $187,000, as last year?

b. Assume the new plant is built and that next year the company manufactures and sells 56,000 balls (the same number as sold last year). Prepare a contribution format income statement and compute the degree of operating leverage.

a. Assume that a society is composed of two polluters, with the marginal abatement costs of polluters 1 and 2, respectively, equal to:

MAC1 = 18 – E1

MAC2 = 12 – 2E2

Where MAC1 refers to the marginal abatement costs of polluter 1, and E1 refers to the level of emissions of polluter 1. What is the unregulated level of pollution for each polluter? Find the total level of emissions that would be generated if a per-unit pollution tax of four dollars were imposed. Perform the same exercise for taxes of six dollars and eight dollars.

b. Given the same two marginal abatement cost function in part (a), find the market price of a marketable pollution permit if pollution was limited to eighteen units through the issuance of marketable pollution permits. Assume initially that each polluter is given nine permits (that allow 1 unit of pollution each).

c. Given a societal marginal abatement cost function of:

MAC = 100 – 3E

and a societal marginal damage function of:

MD = 2E,

find the optimal level of pollution and the per-unit pollution tax that would achieve it.

d. MAC1 and MAC2 are two different societal marginal abatement cost functions. Which one is more likely to be associated with an optimal level of pollution that is at or near zero? Why?

MAC1 = 10 – 0.2E

MAC2 = 1/E

Company XYZ a baby ware makes company servers three regions near Iowa and maintains consignment inventory (owned by ZZY) at each location. Currently. ZZy uses refrigerated TL transportation to deliver separately to each customer. Each truck costs $700 plus $150 per stop. KAR Food is considering aggregating deliveries to Iowa on a single truck. A careful study of the sales regions revealed three large customers, three medium-sized customers, and ten small customers. Demand at the large customer is 60 tons a year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for ZZZY Company is $10,000 per ton, and it uses an annual holding cost of 25 percent. Truck capacity is 12 tons.

a. What is the annual transportation and holding cost if ZZY ships a full truckload to each customer when they are running out of stock?

b. What is the optimal delivery policy to each customer if ZZY Company ships separately to each of them? What is the annual transportation and holding cost?

c. What is the optimal delivery policy to each customer if ZZY Company aggregates shipments to each of the three customers on every truck that goes to Iowa? What is the annual transportation and holding cost?

d. Can you come up with a tailored policy that has lower costs than the policies in (b) or (c)? What are the costs and inventories for your suggested policy?

AURAK Paper Plant AURAK Paper Factory, located near downtown RAK, has long been delaying the expense of installing air pollution control equipment in its facility. The Environmental Protection Agency (EPA) has recently given the manufacturer 16 weeks to install a complex air filter system. AURAK Paper has been warned that it may be forced to close the facility unless the device is installed in the allotted time. The Plant Manager, wants to make sure that installation of the filtering system progresses smoothly and on time. Given the following information, develop a table showing activity precedence relationships. AURAK Paper has identified the eight activities that need to be performed in order for the project to be completed. When the project begins, two activities can be simultaneously started: building the internal components for the device (activity A) and the modifications necessary for the floor and roof (activity B). The construction of the collection stack (activity C) can begin when the internal components are completed. Pouring the concrete floor and installation of the frame (activity D) can be started as soon as the internal components are completed and the roof and floor have been modified. After the collection stack had been constructed, two activities can begin: building the high-temperature burner (activity E) and installing the pollution control system (activity F). The air pollution device can be installed (activity G) after the concrete floor has been built. Finally, after the control system and pollution device have been installed, the system can be inspected and tested (activity H). Activities and precedence relationships may seem rather confusing when they are presented in this descriptive form. It is therefore convenient to list all the activity information in a table first. You are required to: 1. Draw AON network diagram for AURAK Paper Plant 2. What is the critical path method of this diagram? 3. What is the impact on the sequence of activities if EPA approval is required after Inspect and Test?

DP Plc is considering whether to purchase a piece of land close to a major city airport. The land
will be used to provide 600 car parking spaces. The cost of the land is K6,000,000 but further
expenditure of K2,000,000 will be required immediately to develop the land to provide access
roads and suitable surfacing for car parking. DP Plc is planning to operate the car park for five
years after which the land will be sold for K10,000,000 at Year 5 prices. A consultant has prepared
a report detailing projected revenues and costs.
Revenues
It is estimated that the car park will operate at 75% capacity during each year of the project. Car
parking charges will depend on the prices being charged by competitors. There is a 40% chance
that the price will be K60 per week, a 25% chance the price will be K50 per week and a 35%
chance the price will be K70 per week.
DP Plc expects that it will earn a contribution to sales ratio of 80%.
Page 5 of 5
Fixed Operating Costs
DP Plc will lease a number of vehicles to be used to transport passengers to and from the airport. It is expected that the lease costs will be K50,000 per annum.
Staff costs are estimated to be K350,000 per annum.
The company will hire a security system at a cost of K100,000 per annum.
Inflation
All of the values above, other than the amount for the sale of the land at the end of the five year period, have been expressed in terms of current prices. The vehicle leasing costs of K50,000 per annum will apply throughout the five years and is not subject to inflation.
Car parking charges and variable costs are expected to increase at a rate of 5% per annum starting in Year 1.
All fixed operating costs excluding the vehicle leasing costs are expected to increase at a rate of 4% per annum starting in Year 1.
Other Information
The company uses net present value based on the expected values of cash flow when evaluating projects of this type.
DP Ltd has a money cost of capital of 8% per annum.
DP’s Financial Director has provided the following taxation information:
(1) Tax depreciation (Capital allowances) is not available on either the initial cost of the land or the development costs.
(2) Taxation rate: 30% of taxable profits. Half of the tax is payable in the year in which it arises, the balance is payable in the following year.
All cash flows apart from the initial investment of K8,000,000 should be assumed to occur at the end of the year.
Required:
(a) Evaluate the project from a financial perspective. You should use net present value as the basis of your evaluation and show your workings in K’000. [14 Marks]
(b) Calculate the internal rate of return (IRR) of the project. [5 Marks]
The main reason why discounted cash flow methods of investment appraisal are considered theoretically superior is that they take account of the time value of money.
Required:
(c) Explain the THREE elements that determine the ‘time value of money’ and why it is important to take it into consideration when appraising investment projects. [6 Marks]
[TOTAL: 25 MARKS]

Since the end of the Great Recession, interest rates have been at historic lows—in some cases, close to zero. How is expansionary monetary policy, or more specifically a open market purchase, supposed to work? How do near-zero interest rates limit the ability of expansionary monetary policy to work?