Please answer this multi-part question. Thank you!

For this assignment you must write the following function in Scheme:

4 Write a recursive function called mergesort that sorts a list by doing the following:
(a) Use split to split the list into two roughly equal-sized partitions.
(b) Recursively sort both partitions.
(c) Use merge to merge the sorted partitions together.
Once again you will need two base cases, one for the empty list and the other for a single-element list.
> (mergesort '())

()

> (mergesort '(9))

(9)

> (mergesort '(8 6 7 5 3 0 9))

(0 3 5 6 7 8 9)

Please answer this multi-part question. Thank you!

For this assignment you must write the following functions in Scheme:

4 Write a recursive function called mergesort that sorts a list by doing the following:
(a) Use split to split the list into two roughly equal-sized partitions.
(b) Recursively sort both partitions.
(c) Use merge to merge the sorted partitions together.
Once again you will need two base cases, one for the empty list and the other for a single-element list.
> (mergesort '())

()

> (mergesort '(9))

(9)

> (mergesort '(8 6 7 5 3 0 9))

(0 3 5 6 7 8 9)

A company is manufacturing building bricks and fire bricks. Both production require two processes. Brick forming and Heat treatment. The requirements for the two bricks are:

Require:

Prepare statement of manufacturing costs for the two types of bricks.

Burlingame Bank and the ABC Manufacturing Corp. enter into the following 7-year swap with a notional amount of $75 million and the following terms: Every year for the next seven years, Burlingame Bank agrees to pay ABC Manufacturing 7% per year and receive from ABC Manufacturing LIBOR.

a. What type of swap is this?

b. In the first year payments are to be exchanged, suppose that LIBOR is 4%. What is the amount of the payment that the two parties must make to each other?

Two firms compete in a homogeneous product market where the inverse demand function is P = 10 -2Q (quantity is measured in millions). Firm 1 has been in business for one year, while Firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $0.5 million regardless of its production decision. Firm 1’s marginal cost is $2, and Firm 2’s marginal cost is $6. The current market price is $8 and was set optimally last year when Firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market.

a. Based on the information above, what is the likely reason that Firm 1’s marginal cost is lower than Firm 2’s marginal cost? Limit pricing Second-mover advantage Learning curve effects Direct network externality

b. Determine the current profits of the two firms. Instruction: Enter all responses rounded to two decimal places. Firm 1's profits: $ million Firm 2's profits: $ million

c. What would each firm’s current profits be if Firm 1 reduced its price to $6 while Firm 2 continued to charge $8? Instruction: Enter all responses to two decimal places. Firm 1's profits: $ million Firm 2's profits: $ million

d. Suppose that, by cutting its price to $6, Firm 1 is able to drive Firm 2 completely out of the market. After Firm 2 exits the market, does Firm 1 have an incentive to raise its price? No Yes

e. Is Firm 1 engaging in predatory pricing when it cuts its price from $8 to $6? Yes No

Instructions: Aim to include an introductory paragraph with a thesis statement, a summary of the relevant articles, at least two paragraphs answering the questions, and a conclusion paragraph. A thesis statement is a position on the question with supporting reasons. A thesis statement probably includes a “because clause” (e.g. “I argue x because y and z”). Next come one to two paragraphs explaining the background texts necessary to support your thesis. Then, you should include two to three paragraphs supporting your thesis (such as one paragraph on each supporting reason you give). You also may want to critique what you consider the strongest opposing argument as a way of supporting your position. Last, you should end with a concluding paragraph that gives the “so what?” analysis of your topic. In all, you should have about five to seven paragraphs for your essay. Knowledge of the authors’ names is not required but knowledge of their ideas is.

Question:

Write an essay in which you either support or criticize as persuasively as possible the claim that everyone needing a liver or heart transplant should be entitled to receive it, regardless of either their ability to pay for the surgery and/or the aftercare or their blameworthiness as, for example, alcoholic cirrhosis of the liver.

Suppose 2 candidates are vying for election by trying to position themselves along a discrete political spectrum 0 1 2 3 4 5 6 7 8 9 . Ten percent of the votes are at each location on the spectrum. Each candidate wants to maximize her share of the votes by choosing her position on the spectrum; voters vote for the candidate closest to their position on the spectrum, and if there is a tie in distance they split their vote 50-50 between the two candidates.

A. Put the game in normal form.

B. Show that for player 1, position 1 dominates position 0 and that 8 dominates 9.

C. Find the rationalizable strategies for both players using iterative elimination of dominated strategies.

FIFO perpetual inventory

The beginning inventory of merchandise at Dunne Co. and data on purchases and sales for a three-month period ending June 30, 2016, are as follows:

Answer all questions below. It is a whole question with multiple parts.

Profit Forecasting: A company is interested in predicting profit for a number of projects based on two explanatory variables: a measure of risk assigned at the outset of the project (x₁ = RISK) and the expenditure on research and development for the project (x₂ = RD). Data on the three variables PROFIT, RISK, and RD are available in the worksheet entitled RD5. PROFIT is measured in thousands of dollars and RD is measured in hundreds of dollars. Use the data to fit two separate regression models.

For the first model (Linear Model AKA First Order Model), regress PROFIT on the two explanatory variables RISK and RD. (Hint: "Regress PROFIT on x" implies that PROFIT is the y variable and x is the explanatory variable.)

Use the Second Order Model to answer ALL of the questions below. Also, be sure to compute these values based on the UNROUNDED values in EXCEL.


e) Predict the profit for a project with a risk of 6.0 and a research and development expenditure of $5,500. (Enter your answers to two decimal places.)

f) Parts f) and h) require the use of partial differentiation. How quickly is the average profit increasing with respect to risk for a project with a risk of 6.0 and a research and development expenditure of $5,500? (Enter your answer to two decimal places.)

How quickly is the average profit increasing with respect to research and development expenditure for a project with a risk of 6.0 and a research and development expenditure of $5,500? (Enter your answer to two decimal places.)


g) Predict the profit for a project with a risk of 8.5 and a research and development expenditure of $9,500. (Enter your answers to two decimal places.)


h) How quickly is the average profit increasing with respect to risk for a project with a risk of 8.5 and a research and development expenditure of $9,500? (Enter your answer to two decimal places.)


How quickly is the average profit increasing with respect to research and development expenditure for a project with a risk of 8.5 and a research and development expenditure of $9,500? (Enter your answer to two decimal places.)

Alex needs some caffeine to function well (and the more the better). Suppose that a cup of coffee contains twice as much caffeine as a cup of tea, so that Alex can perfectly substitute one cup of coffee for two cups of tea, and his utility function is of the form U(C, T)=2C+T where C denotes cups of coffee, and T denotes that of tea.

a. Suppose that the price of a cup of tea is fixed at pt =$1, but the price of coffee, pc , can vary. Describe Alex’s choice as a function of the price of coffee. Namely, identify the region of pc , where Alex drinks only tea and the region, where Alex drinks only coffee. Illustrate your answer with a graph.

b. Suppose that pc =$2, and Alex has a budget of $10. What will be his optimal consumption bundle? Illustrate your answer with a graph.

c. Now Alex’s cafeteria runs a special promotion: if he buys 3 cups of coffee (at pc =$2) he can have the forth cup of coffee for free. Draw his new budget constraint and show his new choice.