Georgia Movie Company has a capital structure with 43.00% debt and 57.00% equity. The cost of debt for the firm is 8.00%, while the cost of equity is 15.00%. The tax rate facing the firm is 35.00%.

The firm is considering opening a new theater chain in a local college town. The project is expected to cost $12.00 million to initiate in year 0. Georgia Movie expects cash flows in the first year to be $3.45 million, and it also expects cash flows from the movie operation to increase by 4.00% each year going forward. The company wants to examine the project over a 10.00-year period.

What is the NPV of this project? (express answer in millions, so 1,000,000 would be 1.00)

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Answer format: Currency: Round to: 2 decimal places.

You and a group of friends are planning to visit a theme park, which charges $60 for admission, $80 for a two-day pass, and $90 for a three-day pass. Your friends are interested in spending a lot of time there, but they’re worried about paying a lot of money. You explain the concept of marginal cost, which helps them see that the additional day is a good value.

1. The average cost per day of a three-day pass is   $   per person.

2. The marginal cost of adding the third day is   $   per person.

3. If there are 6 people in your group, the group's marginal cost of switching from the two-day pass to the three-day pass is   $  .

A 115 kg seal at an amusement park slides from rest down a ramp into the pool below. The top of the ramp is 2.00 m higher than the surface of the water and the ramp is inclined at an angle of 26.5 ∘ above the horizontal.

Part A

Part complete

If the seal reaches the water with a speed of 4.55 m/s, what is the work done by kinetic friction?

Express your answer using three significant figures.

Part B

What is the coefficient of kinetic friction between the seal and the ramp?

The health of the bear population in Yellowstone National Park is monitored by

periodic measurements taken from anesthetized bears. In a sample of 100 bears, the mean weight was found to be 185 lbs. Assume that ơ (population standard deviation) is known to be 125 lbs, use a 0.03 significance level to test the claim that the population mean weight of bears is equal to 210 lbs.

1. State the claim in symbolic form.

(a) µ £ .210                (b) µ ³ .185       (c) µ = 185                 (d) µ = 210

2. Identify the null and alternative hypotheses:

(A) Ho: µ ³ 210    H1: µ < 210                             (b) Ho: µ = 210    H1: µ ≠ 210

(c) Ho: µ ≠ 210 H1: µ = 210                              (d) Ho: µ £ 185    H1: µ > 185

3. What type of hypothesis test is this?
   1. left-tail                    (b) right-tailed            (c) two-tailed

4. What is the value of the test statistic?

(a) 2.00                (b) 0.0228                    (c) -2.00                       (d) .0456

5. What is the P-value?

(a) 0.0228            (b) 0.456                      (c) -2.00                       (d) 0.0456

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An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use . Factor A is method of loading and unloading; Factor B is the type of ride.

Set up the ANOVA table (to whole number, but -value to 2 decimals and  value to 1 decimal, if necessary).

Bob, Jim and Mimi are sitting in the park and talking about the great birthday party Bob had recently. Suddenly, Bob asks: “Mimi, when is your birthday?” Mimi replies: “Let’s see if you can figure it out”.

Mimi takes a sheet of paper and writes the following dates on it:

April 18

April 19

April 22

May 20

May 21

June 17  

June 19

July 17

July 18

July 20

Then, she says: “One of these dates is my birthday. I will now tell Bob the month of my birthday, and I will tell Jim the day of my birthday”. So, Mimi whispers the month in Bob’s ear, and she whispers the day in Jim’s ear. Mimi says: “without saying out loud what I just whispered in your ears, do any of you know my birthday?” Bob says: “I don’t know, and I know that Jim doesn’t know either” Jim says: “At first I didn’t know, but now I know”. Bob says: “Now I know too”. What is Mimi’s birthday?

Based on the number of students dine in Deer Park Tavern, the manager determines that following number of waiters and waitresses are needed for each day of a week:

The manager hires full time workers (waiters or waitresses) who normally work consecutively for 5 days followed by 2 day off. Additional part time workers can be hired who are required to work two days in a row. Part time workers are paid 25% more daily. Assuming that all workers are equally paid (you may assume $1/day for full time workers) within each category, respectively. In addition, to maintain the quality of service, part time workers on each day should be no more than 40% of full time workers.

Set up an Excel LP model to find a shift schedule for the manager to minimize the operating cost.

The daily amount of water drunk by an elephant in Serengeti National Park is evenly distributed between 0 and 60 liters. 1. What is the probability that an elephant drinks only 25 liters of water at during a day? 2. What is the probability that it will take 40 days for an elephant drink at least 45 liters of water for the first time? 3. What is the probability that it will take 11 days for an elephant drink at least 45 liters of water for the fifth time? 4. There is a certain parasite in these elephants. We have identified in average 35 of these parasites per elephant. What is the probability that we find more than 2 parasites on a randomly chosen elephant

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 pounds. Assuming that ? is known to be 121.8 pounds, test the claim that the population mean of the weights of all Yellowstone bears is greater than 150 pounds.

a. What are the null and alternative hypotheses?

b. What type of test is this? (left-tailed, right-tailed, two-tailed)

c. Find the z-score (standard score) for the sample mean

d. What is the P-value?

e. State the conclusion for the 0.05 significance level.

f. State the conclusion for the 0.01 significance level.