Sabert manufactures the Mosaïc® line of heavyweight plastic cutlery. Colored a distinctive silver, Mosaïc’s® products allow one to “entertain with more style.” Currently, Sabert offers two “combo” assortments: (1) 32-piece (16 forks, 8 knives, 8 spoons); (2) 80-piece (40 forks, 20 knives, 20 spoons). Sabert sells the 32-piece pack for $2.80 and the 80-piece pack for $5.79. It costs Sabert $0.61 to manufacture the 32-piece pack and $1.17 to manufacture the 80-piece pack. H-E-B, a Texas-based supermarket chain, sells both sizes of the Mosaïc® cutlery. H-E-B estimates that in 2012 they will buy 247,600 units of the 32-piece pack and 198,300 units of the 80-piece pack. However, in response to customer feedback, H-E-B has asked Sabert to consider producing a third combo pack exclusively for H-E-B. The proposed combo would be a 56-piece (24 forks, 16 knives, 16 spoons), selling to H-E-B for $4.05 and costing Sabert $0.87 to manufacture. H-E-B has shared some market analysis information with Sabert (to support their request). Sabert marketing analysts have concluded that if they provide the new combo pack they will sell 202,100 units to H-E-B. But they estimate that only 8% of those unit sales will be new sales. Sixty-two percent of the new product’s sales will come from the 80-piece pack and the remaining 30% will come from the 32-piece pack.

(b)  If the 56-piece combo pack is introduced in 2012, what will be the incremental contribution (IC) to the product line?

Consider two interconnected tanks. Tank 1 initial contains 40 L (liters) of water and 160 g of salt, while tank 2 initially contains 20 L of water and 250 g of salt. Water containing 20 g/L of salt is poured into tank1 at a rate of 2 L/min while the mixture flowing into tank 2 contains a salt concentration of 35 g/L of salt and is flowing at the rate of 2.5 L/min. The two connecting tubes have a flow rate of 4 L/min from tank 1 to tank 2; and of 2 L/min from tank 2 back to tank 1. Tank 2 is drained at the rate of 4.5 L/min. You may assume that the solutions in each tank are thoroughly mixed so that the concentration of the mixture leaving any tank along any of the tubes has the same concentration of salt as the tank as a whole. (This is not completely realistic, but as in real physics, we are going to work with the approximate, rather than exact description. The 'real' equations of physics are often too complicated to even write down precisely, much less solve.) How does the water in each tank change over time?

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.

You have a set of building-blocks which contains blocks of heights 1, 3 and 4 centimeters. (Other dimensions irrelevant.) You are constructing towers by piling blocks directly on top of one another. (A tower of height 7 cm could be obtained using seven blocks of height 1; one block of height 3 and one block of height 4; 2 blocks of height 3 and one block of height 1; etc.) Let bn be the number of ways to construct a tower of height n cm using blocks from the set. Assume that there is an unlimited supply of blocks of each size. Find a recurrence relation for bn. (You are not required to solve the recurrence relation.)

I am stuck on this question and don't really know where to start. I've seen examples done but they don't give a final result and I'm not sure how to get there.

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”

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).

____