Fun City has decided to build a new municipal water park with pools, water slides, and so forth. You have been hired to conduct a study to determine if the water park can pass the test. A nearby and very similar city currently has a water park similar to the one Fun City is considering. The nearby city currently charges $10 for admission and, on a typical day, attracts 4,000 persons. Last year, it charged $15, but only attracted 3,000 paying customers.

1. Assuming that the demand curve for water parks is linear, estimate the net benefits received by those using the Fun City water park, if Fun City charges an admission price of $12.50. [NOTE: You need not compute the actual amount; just use a graph and clearly indicate the area that represents the net benefit amount.]

2. By how much, and in what direction, would the net benefits received by those using the water park change if Fun City charges a $15.00 admission price, rather than $12.50? [NOTE: This time compute the actual dollar value.]

IN JAVA

Write a program that calculates the occupancy rate for each floor of a hotel. (Use a sentinel value and please point out the sentinel in bold.) The program should start by asking for the number of floors in the hotel. A loop should then iterate once for each floor. During each iteration, the loop should ask the user for the number of rooms on the floor and the number of them that are occupied. After all the iterations, the program should display the number of rooms the hotel has, the number of them that are occupied, the number that are vacant, and the occupancy rate for the hotel. Input Validation: Do not accept a value less than 1 for the number of floors. Do not accept a number less than 10 for the number of rooms on a floor.

SAMPLE OUTPUT:

Enter number of floors:
2
Enter total rooms at floor 1:
10
Enter total rooms occupied at floor1:
5
Enter total rooms at floor 2:
10
Enter total rooms occupied at floor2:
5
Total rooms: 20
Total occupied rooms: 20
Hotel occupany: 50.0

Apex Roofing Inc. has the following balance sheet (in millions of dollars): Current assets $3.0 Accounts payable $1.2 Net fixed assets 4.0 Notes payable 0.8 Accrued wages and taxes 0.3 Total current liabilities $2.3 Long-term debt 1.2 Common equity 1.5 Retained earnings 2.0 Total assets $7.0 Total liabilities and equity $7.0 Last year's sales were $10 million, and Apex estimates it will need to raise $2 million in new debt and equity next year. You have identified the following facts: (1) it pays out 30 percent of earnings as dividends; (2) a profit margin of 4 percent is projected; (3) fixed assets were used to full capacity; and (4) assets and spontaneous liabilities as shown on last year's balance sheet are expected to grow proportionally with sales. If the above assumptions hold, what sales growth rate is the firm anticipating? Use the AFN equation

The following table provides a historical summary of key financial ratios for Reza Corporation.

Required:

1. With reference to the appropriate ratios, analyse the trend in Reza Corporation’s profitability providing plausible reasons for any changes. (6 marks)

2. Explain what an inventory turnover ratio is measuring and how inventory turnover impacts on Reza Corporation’s profitability. (6 marks)

c. Reza Corporation publishes on its website and discloses key corporate social responsibility (CSR) activities and important topics of interest to stakeholders. Describe an environmental performance indicator and a social performance indicator that may be of interest to Reza Corporation’s stakeholders.

A city in a particular county has a population of 459,649; the population of the county is 9,519,338. Conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. Round expected frequency to two decimal places.

(1) What are the degrees of freedom = 6

(2) What is the test statistic = 28383

(3) Distribution for this test = X^2₆

(3) What is the p-value = 0.0000

(4) NEED HELP WITH #4

Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. (Upload your file below.)

(5) Alpha a= 0.05

4. Mrs Garcia, a physics enthusiast, goes to a water park in South Padre Island to test the concepts learned during class. She goes on a water slide that is 265 meters long and is built at an angle with the ground of θ = 30 degrees. – What is her final velocity at the end of the slide?

5. A goalkeeper kicks a soccer ball that is initially resting on the ground. She kicks the ball with an initial velocity of 8 m/s. The initial angle between the ground and the trajectory of the ball is θ=27 degrees. – How long is the ball in the air? – How far does the ball travel? – How high does the ball go? Hint: Use equations of motion and the definition of range and maximum height for projectile motion.

6. Solve the following quadratic equations: 2x 2 + 6x + 1 = 0 (1) 4x 2 + 12x + 2 = 0 (2) 9x 2 − 4x + 12 = 0 (3) (x − 1) x + 3 + 3 (x − 1) = (4 − x) (x − 1)(x − 1) (4) Hint: Factor and simplify using (x − 1).

(a) The daily demand for hotel rooms in Greater Toronto Area (GTA) is given by the equation: QD = 230–35P. The daily supply of hotel rooms GTA is given by the equation: QS = 13+19P. What are the equilibrium price and the quantity of hotel rooms? 6 marks

(b) Suppose the demand for a bushel of Corn in 2000 was given by the equation QD = 2550–166P. At a price of $4.46 per bushel, what is the price elasticity of demand? If the price of Corn falls to $4.27 per bushel, what happens to the revenue generated from the sale of Corn?

A hotel downtown is trying to implement an employee recognition program based on a standardized problem solving test. The company administering the test indicated that the scores are normally distributed with a mean of 82 points, and a variance of 16. The hotel has decided that employees who score in the bottom 7.5% of the test scores will not receive any additional benefits. The manager would like to know:

a. The probability that an employee would score between 70 and 78 points

b. What cutoff score on the test should the hotel use to not give any additional benefits?

AdventureParks Ltd is evaluating the construction of a new theme park. The theme park would cost $ 495 ​million, but would operate for 20 years. AdvertureParks expects annual cash flows from operating the theme park to be $ 70.6 million and its cost of capital is 12.0 %.

a. Prepare an NPV profile of the purchase.

b. Identify the IRR on the graph.

c. Should AdventureParks go ahead with the​ purchase?

d. How far off could​ AdventureParks' cost of capital estimate be before your purchase decision would​ change?