The opera theater manager calculates that 15% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 690 tickets would differ from the population proportion by more than 4% ? Round your answer to four decimal places.

Twenty people check their hats at a theater. In how many ways can their hats be returned so that

(a) no one receives his or her own hat?

(b) at least one person receives his or her own hat?

(c) exactly one person receives his or her own hat?

At the movies: A movie theater is considering a showing of Puppet Master for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 53 patrons whether they would come to the showing or not. Of the 53 patrons, 30 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing.

a) What is the point estimate for the true proportion of interested patrons? (please input a proportion accurate to four decimal places)

b) Complete the interpretation of the confidence interval. Please provide the bounds for the confidence interval in decimal form, accurate to four decimal places, and list the lower bound first.
"We are ... % confident that the true proportion of patrons interested in attending the showing of Puppet Master is between ... and ... "

c) The theater is only willing to show Puppet Master if they are confident that at least 40% of their patrons would be interested in seeing the film. Should they show it?

A movie theater has at most 90 seats available. Each adult movie ticket costs $14, and each child movie ticket costs $8. To make a profit, the theater must bring in more than $852 in ticket sales per show. A) In terms of A and C, write an inequality that represents the restriction on total occupancy. B) In terms of A and C, write an inequality that represents the restriction on total ticket sales. C) Make a graph that represents your inequalities. D) Which scenario satisfies the restriction on total occupancy but does not produce enough ticket sales? E) Which scenario does not satisfy the restriction on total occupancy but does produce enough ticket sales? F) Which scenario does not satisfy the restriction on total occupancy but does produce enough ticket sales? G) Which scenario satisfies the restriction on total occupancy and also produces enough ticket sales? 

part 2

Duque Vergere manages a Do or Die Theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a normally active day are Poisson distributed and average 210 per hour. To determine the efficiency of the current ticket operation, Duque Vergere wishes to examine several queue-operating characteristics.

d.) What is the average time spent waiting in line to get to the ticket window?
e.) What is the probability that there are more than two people in the system? More than three people? More than four?

ABC Construction has the following contract: Contract price 1,000,000 Cost incurred cost to complete Dec 31 2017 200,000 600,000 Dec 31 2018 350,000 250,000 Dec 31 2019 300,000 850,000 Billings Cash Received Dec 31 2017 250,000 200,000 Dec 31 2018 400,000 350,000 Dec 31 2019 350,000 450,000 1,000,000 1,000,000 A. Prepare a % of completion schedule for the three years B. Prepare journal entries for 3 years

You are considering opening a drive-in movie theater and running it for ten years. You have spent after-tax $10,000 researching the land that will be used for theater, but if you take the project you expect to incur another immediate after-tax expense of $20,000 as you work with a consulting firm to decide how to most efficiently run the business.

The project entails an immediate $100,000 capital expenditure, which can be depreciated over 10 years. You expect to sell this capital investment for $25,000 at the end of the ten year project. Working capital expenses for the project are $50,000 immediately, $40,000 incurred two years from today, both of which are fully recovered in ten years (at the end of the project).

The project’s operating costs are expected to be $100,000 for each of the first five years and then (starting between t=5 and t=6) grow at -5% per year through the end of the project (i.e., through t=10). You expect the project’s revenues to start at $100,000 starting one year from today and remain constant for the life of the project.

1. (1 points) To determine the discount rate for the project, you have found an all-equity firm with a risk level similar to the company you’re starting. That firm’s equity has a standard deviation of returns of 35% and a correlation with the stock market of 0.8. The risk free rate is 4%, the expected market returns are 9.5% and the standard deviation of market returns is 28%. What is your estimated cost of capital?
2. (7 Points) You decide to use 10% as the project’s opportunity cost of capital (ignore your answer from part a). Your expected tax rate is 25%. What is the project’s NPV?
3. (2 points) You find out that the government is interested in buying the capital investment from you at the end of the project. Instead of selling it for $25,000 at the end of the project, the government will commit today to buying the capital from you for $75,000 post-tax ten years from today. You trust the government and think that this sale is risk free should you take the project. To what extent (if any) should the above information factor in to your decision regarding whether or not to open the theater? Does it change the NPV in any way, if so how? (hint: think of the capital investment as its own project – how will this affect the cash flows and/or the discount rate)

Can you add as much details as you can, Thank you!

Caesars​ Palace® Las Vegas made headlines when it undertook a​ $75 million renovation.

In​ mid-September 2015, the hotel closed its​ then-named Roman​ Tower, which was last updated in​ 2001, and started a major renovation of the 567 rooms housed in that tower. On January​ 1, 2016, the newly renamed Julius Tower​ reopened, replacing the Roman Tower. In addition to renovating the existing rooms and suites in the former Roman​ Tower, 20 guest rooms were added to the Roman Tower. With the renovation​ completed, Caesars expects the Julius Tower room rate to average around $149 per night. This​ increase, a $25 or​ 20.2% increase,​ reflects, in​ part, the room improvements. Assume that the annual fixed operating costs for the Julius Tower in Caesars​ Palace® Las Vegas will be $5,000,000. This amount represents an increase of​ $200,000 per year compared to​ pre-renovation. Also assume that the variable cost per hotel room night after the renovation is $27​; before the​renovation, the variable cost per room night was $20. The contribution margin per room night after the renovation is $122​; before the​ renovation, the contribution margin per room night was $129. The average hotel occupancy​ rate, in​ 2014, for Caesars Entertainment Corporation was​ 91.2%, according to its 2014 Form​ 10-K. By​ comparison, the average hotel occupancy rate in Las Vegas​ overall, for that same time​ period, was​ 86.8%, according to Stastia.com.

1. if Caesars has a target profit of $15,000,000​, how much sales revenue does the company need to make to achieve its target​ profit? ​(Round interim calculations to the nearest whole percent​ and/or dollar. Round your final answer to the nearest whole​ dollar.)

A. $42,153,444

B. $29,845,345

C. $24,390,244

D. $15,852,843

2. If Caesars has a target profit of $15,000,000​, how many rooms must the company occupy throughout the year in order to reach its target​ profit? ​(Round your answer up to the nearest whole​ room.)

A. $240,385

B. $134,229

C. $1122,951

D. $163,935

3. What is each​ room's contribution margin after the​ renovations?

A. $104

B. $122

C. $97

D. $129

Homework 3:

A car dealer pays $17,985 for each car purchased. The annual holding rate is estimated at 25%, and the ordering cost is $7,558. The dealer is selling an average of 516 cars a year.

3. Note the new information:

• The dealership can only park 45 cars in its small parking lot. Therefore, if needed, it will lease a nearby bigger parking lot, and use it to park access inventory.

• The dealer can get a discount of $1000 on the car's price if his order size is 275 cars or more.

3-1: If the dealer rejects the discount offer, what will be his order size?

a. 42 cars

b. 43 cars

c. 45 cars

d. None of the above.

3-2: If the dealer decides to accept the offer to order 275 cars, he uses the leased parking lot as a "Warehouse", and each time a car is sold from the small parking lot, he transfers a car from the leased large lot. Therefore, in his own lot, there are all the time 45 cars on display, but the inventory in the large lot is gradually depleting. What is the average inventory the dealership carry in the leased parking lot?

a. 275 cars    

b. 275/2 cars

c. 38+(275/2)      

d. 237/2

3-3 A car kept in the leased parking lot costs the dealer additional $250 in holding cost (which increases Ch¬). Calculate the annual total cost if the dealer decides to accept the "275" deal. Break down the costs: Annual Ordering cost, Annual Holding cost in the small parking lot, Annual Holding cost in the leased parking lot, Annual Purchasing cost. (not multiple choice, show work)