Calculate a 90​%

confidence interval for the difference between the two population proportions.

Sample1 n1=200 x1=40

sample 2 n2=150 x2=27

___≤​(p1−p2​≤______

Excel Hydro took a loan contract which requires a payment of $40 million-plus interest two years after the contract's date of issue. The interest rate on the $40 million face value is 9.6% compounded quarterly. Before the maturity date, the original lender sold the contract to a pension fund for $43 million. The sale price was based on a discount rate of 8.5% compounded semi-annually from the date of sale.

Excel Hydro is also considering building a nuclear power plant, which will be ready for production in 2030. The country's governing body is also considering a decommissioning liability law for the operator to put aside $1 million every month towards decommissioning cost. If the production life of the plant is 60 years and the operator puts the money at the end of the month in a savings account, earning 7.25% compounded monthly.

During the 60 years of the production life of the plant, the operator will put $1 million at the end of the month in a savings account, earning 7.25% compounded monthly. At the end of the production life of the plant, there are no more contributions and the money is expected to grow at the rate of 6% compounded quarterly for the next 30 years.

1.       How many months before the maturity date did the sale take place?

2.       What will be the value of the decommissioning fund after 60 years of production?

3.       What will be the value of the decommissioning fund in 2120?

4.       How much interest is included in the future value in 2120?

Two identical double-pipe heat exchangers are constructed of a 2-in standard schedule 40 pipe placed inside a 3-in standard pipe. The length of the exchangers is 10 ft; 40 gal/min of water initially at 80◦F is to be heated by passing through the inner
pipes of the exchangers in a series arrangement, and 30 gal/min of water at 120◦F and 30 gal/min of water at 200◦F are available to accomplish the heating. The two heating streams may be mixed in any way desired before and after they enter the heat exchangers. Determine the flow arrangement for optimum performance (maximum heat transfer) and the total heat transfer under these conditions. Use both NTU and LMTD methods.

Santiago Manufacturing prices its products at full cost plus 40 percent. The company operates two support departments and two producing departments.Budgeted costs and normal activity levels are as follows: Support Departments Producing Departments A B C D Overhead costs $20,000 $50,000 $90,000 $120,000 Square feet 2,000 2,400 4,000 12,000 Number of employees 20 30 60 40 Direct labor hours - - 10,000 6,400 Machine hours - - 6,000 10,800 Support Department A's costs are allocated based on square feet, and Support Department B's costs are allocated based on number of employees. Department C uses direct labor hours to assign overhead costs to products, while Department D uses machine hours. One of the products the company produces requires 4 direct labor hours per unit in Department C and no time in Department D. Direct materials for the product cost $45 per unit, and direct labor is $20 per unit. If the direct method of allocation is used and the company follows its usual pricing policy, the selling price of the product would be

Question 1 [40 pts] – Free Rider Problem –Game Theoretic Modeling

Consider two individuals who are deciding to pay for a public good or not. The value of the public good is 10 for each individual and the cost of the public good is 12 TL.

• If they both vote yes and agree to pay, they will share the cost equally and the public good is provided.
• If only one vote yes and agrees to pay, full cost will be borne by this individual and the public good will be provided.
• If they both opt out from paying by voting no, no funds will be collected and the public good will not be provided.

Given the valuation for the public good, cost and the cost sharing mechanism above and our knowledge about public goods this decision process is depicted as a simultaneous form game below.  [Note on notation: the first payoff in each cell corresponds to the payoff of the row player, Individual 1. The second payoff in each cell corresponds to the payoff of the column player, Individual 2.]

Modeling: – Using Game Theory

1. (5 pts) Public goods are non-rival and non-excludable. Check the payoffs (net benefit; benefit after costs) from each outcome and note that while writing the payoffs of the game these two characteristics of pure public goods is used. Refer to these characteristics first and explain how these characteristics are incorporated into the game.

2. (4 pts) Explain why this problem about the provision of a public good can be represented using game theory; say as opposed to the problem of an individual deciding to buy a t-shirt for himself or not.

One-Shot Game: Impossibility of reaching the cooperative outcome.

3. (2 pts) What is Individual 1’s best response to other player choosing to pay for the public good? Briefly explain.
4. (2 pts) Explain what a dominant action is and then indicate if there is a dominant action here for any player.

5. (2 pts) Solve for the Nash equilibrium of the game. Explain your work.

6. (5 pts) Evaluate the Nash equilibrium of the game. Is this equilibrium socially efficient? Explain by referring to the market failure we encounter with the public goods.

7. (5 pts) Can the two individuals just promise each other to vote yes and then sustain the promised cooperative outcome in this game that is played once? Show that each individual has an incentive to cheat and vote no instead when the other is sticking to its promise.

JAVA

1. Write an application that inputs a telephone number as a string in the form (555) 555-5555. The application should use String method split to extract the area code as a token, the first three digits of the phone number as a token and the last four digits of the phone number as a token. The seven digits of the phone number should be concatenated into one string. Both the area code and the phone number should be printed. Remember that you will have to change deliminator characters during the tokenization process.

2. Write an application that inputs a line of text, tokenizes the line with String method split and outputs the tokens in reverse order. Use space characters as delimiters. For example, input “This is a beautiful day.” The output should be “day. Beautiful a is This”

John and Eric are childhood friends who went to school and university together. After graduation, John moved to Spain where he joined his family and started a business exporting authentic Spanish Artwork to clients around the World. Eric operates a retail store in Brazil, and the two friends agreed to start a business together. John would send artwork to Eric who would sell it in his store at a reasonable price. John shipped the Artwork by mail to ensure quick, timely delivery. Eric verbally agreed to pay John 30 days after shipment and they would split the profits equally, with each party getting 50 percent. 45 days after shipment, John contacted Eric to see how things were progressing. Eric informed John that the Artwork had not sold. He indicated some potential buyers had shown interest but thought the art was priced too high. A month later, John called Erik to follow up and collect funds. Eric mentioned he had no cash on hand and his financial situation made it impossible to make any payments for the moment. Eric gave John the option to either take the frames back or sell them at cost. John is unable to obtain assistance from any of his friends and lawyers as there are no written contractual agreements signed. 4 months later, John followed up one last time. Eric mentioned he sold the frames for 25 percent of the asking price, and he did not transfer any funds for payment of artwork and additional costs. John lost $9,000 worth of goods and a friend that he trusted.

Note: No Plagiarism, Each answer minimum of 100 words.

1. What mistakes did John make during his negotiation that led to this loss? *

2.Is there anything John can legally do now to minimize his loss in this transaction? *

3. How would you negotiate differently in a similar future transaction to avoid this situation at the end? *

Question 2                                                                                                                  15 Marks

The Anderson Group provides counselling services at different suburbs in NSW. It charges clients for (a) direct professional time (at an hourly rate) and (b) support services (at 30% of the direct professional costs billed). The three counsellors in The Anderson Group and their rates per counselling hour are as follows:

The Anderson Group has just prepared the May 2019 bills for two clients. The hours of counselling time spent in two of the suburbs in NSW are as follows:

1. What amounts did The Anderson Group bill to Paddington and Castle Hill suburbs for May 2019?

                                                                                                      (4.5 marks)

2. Suppose support services were billed at $80 per counselling hour (instead of 30% of the direct professional costs), how would this change affect the amounts The Anderson Group billed to the two suburbs for May 2019? Show calculations.

(4.5 marks)

3. Comment on the differences between the amounts billed in requirements (a) and (b).

____

Hyundai Automobile U.S.A. is sponsoring a charity golf tournament to raise monies for a​ children's hospital in Birmingham. Hyundai budgets​ $5,400 in costs for administration and marketing for the event. The band will cost a fixed amount of​ $2,100. Tickets to this local community event will be​ $350 per person. All proceeds from the event will be donated to the​ children's hospital. There are two possible​ venues:

RTJ Golf Resort at​ Prattville, which has a fixed rental cost of​ $10,220. The hotel provides for meals and waiters and waitresses to serve drinks and finger foods at​ $65 per person. The green fees and cart for each person will be​ $40.

Wynlakes Golf​ & Country​ Club, which has a fixed rental cost of​ $2,300 plus a charge of​ $110 per person for its own catering of meals and serving of drinks and finger foods. The green fees and cart for each person will be​ $50.

​(a) Compute the​ break-even point for each venue in terms of tickets sold.

The​ break-even point for tickets sold from RTJ Golf Resort at Prattville​ is:

A.

68

B.

70

C.

85

D.

73

The​ break-even point for tickets sold from Wynlakes Golf​ & Country Club​ is:

A.

52

B.

45

C.

61

D.

50

​(b) At what level of tickets sold will the two venues have the same operating​ income?

The two venues will have the same operating income with ticket sales​ at:

A.

146

B.

134

C.

123

D.

144

A sample of 17 students is selected. Data is collected on the students’ GPA, the # of hours studying per week, the # of hours sleeping per night and gender. using excel to calculate:

a) Decide at the level of significance of 5% if there is any difference between the average GPA of females and males.

b) Decide at the level of significance of 5% if there is any difference between the average # of hours studying per week of females and males.

c) Decide at the level of significance of 5% if there is any difference between the average # of hours sleeping per night of females and males