The builder of a new movie theater is trying to decide how many screens she wants. Below are her estimate of the number of patrons the complex will attract each year depending on the number of screens available. Number of screens: Total number of patrons 1 50,000 2 95,000 3 135,000 4 170,000 5 195,000 The owner expects to net $2 per ticket sold. Construction costs are $1,000,000 per screen. The screen can always be resold for $1,000,000 at the end of the year. However, the builder has to borrow $1,000,000 per screen and pay the lender the prevailing interest rate.

a) What is the marginal product per screen? In other words how much revenue does each screen generate

b) How many screens will be built if the interest rate is 6%

c) How many screens will be built if the interest rate is 8.5%?

d) How many screens will be built if the interest rate is 12%

Create a matlab function that converts Miles per hour to feet per second. Please show code in matlab

Magna Magna Corporation uses trucks to transport bottles from the warehouse to different retail outlets. Gasoline costs are $ 0.26 $0.26 per mile driven. Insurance costs are $ 7 comma 000 $7,000 per year. Calculate the total costs and the cost per mile for gasoline and insurance if the truck is driven​ (a) 16 comma 000 16,000 miles per year or​ (b) 35 comma 000 35,000 miles per year. ​(Round the cost per mile answers to the nearest​ cent, $X.XX.)

in a study of 11,000 car crashes, it was found that 5720 of them occurred within 5 miles of home. Use .05 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.

Step 1: Ho:___ Ha:_____

Step 2: significance level a= .05

step 3 : Test :___

VALUES FOR EACH REQUIRED ENTRY ON CALCULATOR

p-value:____

Step 4: Decision

Reason:

Conclusion:

Please include numbers to put into the calculator and what test you use

14.  If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the   volume of the sphere to that of the cylinder.

15.  Determine the first quadrant point on the curve  y²x = 18 which is closest to the point  (2, 0).     

16.  Two cars are traveling along perpendicular roads, car A at 40 mph, car B at 60 mph.  At noon when   car A reaches the intersection, car B is 90 miles away, and moving toward it.  At 1PM, what is   the rate, in miles per hour, at which the distance between the cars is changing?

Twice last? month, Judy Carter rented a car in? Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily? fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4? days, she drove 360 ?miles, and the rental cost her ?$226.00 On her second business trip she drove 190 miles in 3? days, and paid ?$149.50 for the rental. Find the daily fee and the mileage charge.

The Highway Safety Department wants to study the driving habits of individuals. A sample of 33 cars traveling on a particular stretch of highway revealed an average speed of 68.2 miles per hour with a standard deviation of 9.2 miles per hour. Round to 4 decimal places.

2. What sample size is needed to estimate the true average speed to within 2.5 mph at 95% confidence? Note: For consistency's sake, round your t* value to 3 decimal places before calculating the necessary sample size.

Choose n =

Q. Mr. Miles is a first time investor and wants to build a portfolio using only U.S. T-bills and an index fund that closely tracks the S&P 500 Index. The T-bills have a return of 5%. The S&P 500 has a standard deviation of 20% and an expected return of 15%.

1. Draw the CML and mark the points where the investment in the market is 0%, 25%, 75%, and 100%.

2. Mr. Miles is also interested in determining the exact risk and return at each point