Pizza Venice and Pizza Sun are two pizza restaurants in a town. The demand for pizzaat Pizza Venice is given byQV= 14−PV+PS, while the demand for pizza at PizzaSun isQS= 8−2PS+PV. (Prices are in dollars and quantities are measured in 100customers). Pizza Venice has a unit cost of $4, while Pizza Sun has a unit cost of $2per pizza.

a.(4 points)Write the profit function for each restaurant in terms of PV and PS.

b.(8 points)Find each restaurant’s best reply function.

c.(6 points)Find the Nash Equilibrium price, quantity, and profit for each restaurant.

The Town of Quincy’s fiscal year ends on June 30. The following data relate to the property tax levy for the fiscal year ended June 30, 2017. The balance in Deferred Inflows—Property Taxes was $68,000 at the end of the previous year. This was recognized as revenue in the current year in a reversing journal entry. On July 1, 2016, property taxes in the amount of $8,650,000 were levied. It was estimated that 0.5 percent would be uncollectible. The property taxes were intended to finance the expenditures for the year ended June 30, 2017. October 31, $4,675,000 in property taxes were collected. December 31, $3,775,000 in additional property taxes were collected. Receivables totaling $9,450 were deemed to be uncollectible and written off. On June 30, $76,000 was moved from Revenues Control to Deferred Inflows, because it was not expected to be collected within 60 days.

The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4755 households discard waste with weights having a mean that exceeds 27.35 lb/wk. For many different weeks, it is found that the samples of 4755 households have weights that are normally distributed with a mean of 26.98 lb and a standard deviation of 12.64 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 27.35) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?

• Yes, this is an acceptable level because it is unusual for the system to be overloaded.
• No, this is not an acceptable level because it is not unusual for the system to be overloaded.

 The following graph shows the demand (D) for cable services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local cable company, a natural monopolist.

 On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist.

 Which of the following statements are true about this natural monopoly? Check all that apply.

•  The cable company is experiencing diseconomies of scale.
•  The cable company is experiencing economies of scale.
•  It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers.
•  The cable company must own a scarce resource.

 True or False: Without government regulation, natural monopolies can earn positive profit in the long run.

•  True
•  False

27) The Town of Greenfield issued the following during the year: (1) $600,000 in bonds for the installation of street lights, to be assessed against properties benefited, but secondarily backed by the town; (2) $800,000 in bonds for construction of a public golf course to be self-supported from fees collected from golf course users. How much should be accounted for through debt service funds for payments of principal over the life of the bonds?

A. $0.

B. $600,000.

C. $800,000.

D. $1,400,000.

28) On March 2, 2020, 20-year, 6 percent, general obligation serial bonds were issued at the face amount of $3,000,000. Interest of 6 percent per annum is due semiannually on March 1 and September 1. The first payment of $150,000 for redemption of principal is due on March 1, 2017. Fiscal year-end occurs on December 31. What is the interest expenditure reported in the debt service fund for the fiscal year ending December 31, 2020?

A. $90,000.

B. $135,000.

C. $150,000.

D. $180,000

            29) Which of the following may properly be reported as a component of net position in the proprietary fund statement of net position?   

            30) Internal service funds should be used only if:

A. The reporting government funds the activity with general obligation debt.

B. The reporting government provides services primarily to external participants.

C. The reporting government provides services primarily to other departments of the same

      government.

D. The reporting government provides services below full cost.

            31) The comprehensive annual financial report (CAFR) of a government should contain a statement of revenues, expenses, and changes in fund net position for:

A. Both proprietary and governmental funds.

B. Proprietary but not governmental funds.

C. Governmental but not proprietary funds.

D. Proprietary and fiduciary funds.

            32) Under GASB standards, an internal service fund should prepare all of the following financial statements except a:

Eddie Kelly is running for reelection as mayor of a small town in Alabama. Jessica Martinez, Kelly’s campaign manager during this election, is planning the marketing campaign, and there is some stiff competition. Martinez has selected four ways to advertise: television ads, radio ads, billboards, and newspaper ads. The costs of these, the audience reached by each type of ad, and the maximum number of each is shown in the following table: In addition, Martinez has decided that there should be at least six ads on TV or radio or some combination of those two. The amount spent on billboards and newspapers together must not exceed the amount spent on TV ads. While fundraising is still continuing, the monthly budget for advertising has been set at $15,000. How many ads of each type should be placed to maximize the total number of people reached?

Please answer in excel with solver and provide formulas

The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 5084 households discard waste with weights having a mean that exceeds 27.1 lb/wk. For many different weeks, it is found that the samples of 5084 households have weights that are normally distributed with a mean of 26.72 lb and a standard deviation of 13.01 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 27.1) = Enter your answer as a number accurate to 4 decimal places.

NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?

Yes, this is an acceptable level because it is unusual for the system to be overloaded. OR No, this is not an acceptable level because it is not unusual for the system to be overloaded.

1. A Doctor walking through town to his job hospital is a bird watcher, and records the number of storks nest he sees each year in chimneys. After 10 years he notices the number of births and stork sightings seems oddly correlated. Here are the summary statistics between births and stork nest sightings:

N= 10

Xbar = 8.8

Ybar= 33.6

Sxx = 61.6

Syy = 1312.4

Sxy= 250.2

SSE= 296.1656

1. Test if the correlation is > 0 at the 0.5 level
2. Calculate a 95% prediction interval for the number of births if the number of stork sightings is 30

A town has 500 real estate agents. The mean value of the properties sold in a year by these agents is 650,000​, and the standard deviation is 200,000. A random sample of 100

agents is​ selected, and the value of the properties they sold in a year is recorded.

a. What is the standard error of the sample​ mean?

b. What is the probability that the sample mean exceeds 656,000​?

c. What is the probability that the sample mean exceeds 631,000​?

d. What is the probability that the sample mean is between 634,000

and 660,000​?

A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days pre- ceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 peo- ple. In planning the advertising campaign, the cam- paign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of televi- sion ads. How many ads of each type should be used? How many people will this reach?