Two firms produce a similar product and are located 20 miles apart along a linear market.

They have a constant marginal and average variable cost equal to 5 dollars per unit of output. It

costs one dollar to transport the product one mile. Consumers are uniformly distributed along the

market. Draw a graph of the market and indicate the optimal price for each firm to charge, how

much of the market each firm serves, and how much profits each firm receives. Explain how this

model generalizes to a circular market with free entry and variable location. What role do profits

play in establishing an equilibrium in the generalized model.

Miles Hardware has an annual cash dividend policy that raises the dividend each year by 11​%. Last​ year's dividend, Div0​, was $1.50 per share. Investors want a return of 17​% on this stock. What is the​ stock's price if

a. the company will be in business for 5 years and not have a liquidating​ dividend?

b. the company will be in business for 15 years and not have a liquidating​ dividend?

c. the company will be in business for 30 years and not have a liquidating​ dividend?

d. the company will be in business for 50 years and not have a liquidating​ dividend?

e. the company will be in business for 90 years and not have a liquidating​ dividend?

f.  the company will be in business​ forever?

Lon Timur is an accounting major at a midwestern state university located approximately 60 miles from a major city. Many of the students attending the university are from the metropolitan area and visit their homes regularly on the weekends. Lon, an entrepreneur at heart, realizes that few good commuting alternatives are available for students doing weekend travel. He believes that a weekend commuting service could be organized and run profitably from several suburban and downtown shopping mall locations. Lon has gathered the following investment information.

1. Five used vans would cost a total of $74,970 to purchase and would have a 3-year useful life with negligible salvage value. Lon plans to use straight-line depreciation.

2. Ten drivers would have to be employed at a total payroll expense of $48,000.

3. Other annual out-of-pocket expenses associated with running the commuter service would include Gasoline $16,000, Maintenance $3,600, Repairs $4,000, Insurance $4,300, and Advertising $2,700.

4. Lon has visited several financial institutions to discuss funding. The best interest rate he has been able to negotiate is 15%. Use this rate for cost of capital.

5. Lon expects each van to make ten round trips weekly and carry an average of six students each trip. The service is expected to operate 30 weeks each year, and each student will be charged $12 for a round-trip ticket. Click here to view PV table.

a)

Determine the annual (1) net income and (2) net annual cash flows for the commuter service. (Round answers to 0 decimal places, e.g. 125.)

Net income    $

Net annual cash flows    $

(b)

Compute(1) the cash payback period and (2) the annual rate of return. (Round answers to 2 decimal places, e.g. 10.50.)

Cash payback period    years

Annual rate of return %

(c)

Compute the net present value of the commuter service. (Round answer to 0 decimal places, e.g. 125. If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

Net present value

Miles Hardware has an annual cash dividend policy that raises the dividend each year by 10​%. Last​ year's dividend, Div 0​, was $ 1.50 per share. Investors want a return of 17% on this stock. What is the​ stock's price if a.  the company will be in business for 10 years and not have a liquidating​ dividend? b.  the company will be in business for 20 years and not have a liquidating​ dividend? c.  the company will be in business for 30 years and not have a liquidating​ dividend? d.  the company will be in business for 45 years and not have a liquidating​ dividend? e.  the company will be in business for 90 years and not have a liquidating​ dividend? f.   the company will be in business​ forever? a.  What is the price of this stock if the company will be in business for 10 years and not have a liquidating​ dividend?

Miles Hardware has an annual cash dividend policy that raises the dividend each year by 10​%.

Last​ year's dividend, Div 0Div0​, was $ 1.65 per share. Investors want a return of 16​% on this stock. What is the​ stock's price if

a.  the company will be in business for 5 years and not have a liquidating​ dividend?

b.  the company will be in business for 15 years and not have a liquidating​ dividend?

c.  the company will be in business for 25 years and not have a liquidating​ dividend?

d.  the company will be in business for 40 years and not have a liquidating​ dividend?

e.  the company will be in business for 70 years and not have a liquidating​ dividend?

f.   the company will be in business​ forever?

What is the price of this stock if the company will be in business for (5,15,25,40,70 years, forever), and not have a liquidating dividend? round to nearest cent

An automotive manufacturer believes that the variance of the gas milage for its hybrid vehicles is 6. You work for an energy conservation agency and want to test this claim . You find that a random sample of the miles per gallon of 28 of the manufacturer’s hybrid vehicles has a variance of 4.25. At α = 0.05 do you have enough evidence to reject the manufacturer’s claim?

In 1803, the U.S. doubled in size with the Louisiana Purchase. That well-known real estate mogul Napoleon Bonaparte sold us 827,000 square miles (529,280,000 acres–there are 640 acres in a square mile). We paid $15 million. Assume that part of the US is worth an average of $6,500 per acre in 2019. What is the annual rate of return of this purchase for the U.S.?

As technology increases, the fuel efficiency of cars and trucks also increases. However, even though modern automobiles pollute less than older models, the overall rate of pollution due to cars and trucks has increased. How can this apparent contradiction occur? Think about things such as the number of miles driven, and the average number of drivers and cars on the road.

In C,

1) Create variables for:

your first and last name

total round trip to school and home (assuming you don't live on campus - make it your hometown).

cost of gas

2) Create a program that will:

output your first name and your total miles driven for the week.

output your last name with the total costs per week

Pioneer Castings, Inc. is realizing it's employee turn-over is rather high. Furthermore, the management is also wondering if the rates are the same between Men and Women. To find out the details, it randomly picked a sample of men and women and recorded the number of years each stayed with the company. Given this dataset, can we conclude that the men and women have the same tenure at the company? Use level of significance = 4% everywhere.                  
                                      
                  
Run the appropriate T-test (using Excel and Explain the steps). Output to Cell D33.                              
Q5   What is the P-value?              
Q6   What is the Level of Significance?              
Q7   If you compare the T-stat with T-critical, you would conclude that               
Q8   If you compare the P-value with Alpha, you would conclude that               

Men       Women
3.2       0.7
15.7   0.9
1.3       0.8
0.7       0.3
8.6       5.8
10.4   2.3
3.2       1.4
1.3       9.3
23.9   5.7
0.2       12.1
0.8       2.8
11.1   0.4
1.5       1.4
3.7       1
14.9   0.8
3       11.9
2.3       4.8
18.2   1.3
12.9   2.6
2.5       1.8
3.8       6.3
3.4       20.7
5.5       1.8
3.8       16.4
17.3   4.1
3.7       2.7
9.7       1.4
10.3   2.9
4.3       4.5
9       4
15.8   0.6
16.8   3
4.1       1.1
5.6       7
1.4       1.4
20.1   2.3
1.2       17
5.1       6
5.8       3.7
6.8       6.8
13.7   6.1
6.1       0.4
6.4       4.9
2.5       3.3
22.2   10.6
4.4       4.9
18.1   0.3
0.4       4.7
2.8       3.7
13.9   1.4
7.9       2.8
5.4       1.3
6.2       1.6
2.5       4
11.3   7.1
10       2.5
2       3.8
1.5       5.8
4.3       8.9
1.3       7.6
5.8       11.2
2.8       3.2
1.5       9.4
0.6       5.6
5.8       8.2
4.8       0.1
2.7       2.5
5.7       11.1
17       2.8
11.3   1.1
9.6       3.5
1.9       2.2
15.8   2.9
2.4       1.6
5.6       6.6
0.9       1.9
20.6   1.3
11.2   1.7
10.6   7.8
1.2       5.3
10.7   3.1
3.1       5.2
0.2       7.6
0.5       0.6
3.7       5.6
7.1       2.2
1.6       10.5
20.1   2.8
3.8       8.5
3.6       6.2
1.8       1.5
1.4       3.4
11.3   8.9
10.2   20.2
11.6   0.6
15.9   2.5
15.3   3
10.1   0.7
3.4       10.7
3.7       0.3
6.4       4.1
14.2   35.9
2.2       7.1
2.6       4.2
18.9   3.2
6.4       1.4
12       2
16.6   2
7.3       20.9
5.3       25.2
10.3   1.4
16.7   5.2
12.6   2.9
1.9       3
7.1       2.5
6.6       6.1
1.6       12.4
3.2       3
1.6       8.4
0.9       0.8
0.5       13
1.5       1.5
1.9       1.1
4.8       5.9
18       8.4
1       10.6
0.8       4.2
16.5   0.6
1.6       17.6
3.1       1.4
0.6       4.7
10.8   15.4
1.2       8.6
3.1       2.6
3.3       0.6
3.1       8.8
3.7       5.6
0.7       10.3
2.5       6.5
2.3       1.6
5       0.6
0.3       0.8
4.1       7.9
3.4       3.5
6.2       7.5
8       6.5
7.8       3.3
1.8       3.2
0.3       2.4
0.7       3.3
14.1   3.6
5.1       8.1
2.5       3.9
3.3       1
1.5       2
19.5   27.9
3       15.4
1.8       0.5
3       0.5