Question: when x^4 + px^3 + qx^2 + rx + 6 is divided by x + 1, x -1 and x + 2, the remainder are 6, 12 and 6 respectively. Find the values of p, q and r.

2. Of the 4 markets discussed, which market structure can achieve allocative and productive efficiency in the long run

3. Which market structure can have both homogeneous and differentiated products

4. Describe the characteristics of a pure monopoly

5. What are the benefits of monopolistic competition?

6. Please explain how shut-down rule is applied.

7. Discuss the major barriers to entry into an industry

Submit a paper which is 2-3 pages in length (no more than 4-pages), exclusive of the reference page. The paper should be double spaced in Times New Roman (or its equivalent) font which is no greater than 12 points in size. The paper should cite at least three sources in APA format. One source can be your textbook.

In this paper, please discuss the following case study. In doing so, explain your approach to the problem, support your approach with references, and execute your approach. Provide an answer to the case study’s question with a recommendation.

You are the owner of a parasailing company that is expanding operations to a new beachfront location, and you need to prepare a 3-year analysis for the bank that may loan you the funds to purchase your boat and parasailing equipment. A lot of business is done on a referral basis, where a company pays a fee to a 3rd party to send them customers. However, because of your well-established reputation, you already have received requests for “flights” to be scheduled as soon as you open the new location. Therefore, you expect to break-even the first year but must calculate the number of flights needed. You also need to determine the new break-even point in Year 2 if the location allows referrals, which you believe will cost on average about 2% of the sales price overall. Finally, you need to determine the volume needed to have $10,000 in profit in Year 3. The following information is available:

• Sales price per flight $175
• Estimated loan payment per month $350
• Fuel costs per flight $100
• Full-time scheduler salary $2,500 per month
• Boat crew per flight $30
• $500 per month dock fee and use of a small office on a pier

Requirements:

• Calculate the Year 1 break-even quantity, contribution margin, and contribution margin ratio. Explain how the values were determined.
• Calculate the Year 2 break-even quantity, break-even sales, and contribution margin ratio. Explain how the values were determined.
• Determine the number of flights (units) needed to retain a profit of $10,000 in Year 3, assuming the company does allow for referrals.
• Recommend if the bank should issue the loan.

Superior papers will:

Perform all calculations correctly.

• Articulate the approach to solving the problem.
• Explain the relationship of the costs to the concept of contribution margin.
• Discuss any limitations of the data, including what may be missing.
• Conclude on whether the bank should issue the loan.

5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and 3 C’s), I select one at random. Determine the following probabilities.

(a) Prob (my word is a palindrome and has no two C’s next to each other).

(b) Prob (my word has two C’s next to each other and the other C not next to them).

(c) Prob (my word has the three C’s next to each other and the B’s apart from each other). Leave your probabilities with factorials in them.

A boy has 5 red , 2 yellow and 4 green marbles. In how many ways can the boy arrange the marbles in a line if:
a) Marbles of the same color are indistinguishable?

b) All marbles have different sizes?

Question 2 – Key Incentives (4 questions – 10 marks)

Different kinds of companies compensate their key employees in different ways. Established companies may pay higher salaries, while new companies may offer stock options that will be valuable if the company succeeds. Do high-tech companies tend to offer stock options more often than other companies? One study looked at a random sample of 200 companies. Of these, 91 were listed in the Directory of Public High Technology Corporations and 109 were not listed. Treat these two groups as SRSs of high-tech and non-high-tech companies. Seventy-three of the high-tech companies and 75 of the non-high-tech companies offered incentive stock options to key employees.

a) [5 marks] Test whether these two types of companies are equally likely to offer this kind of benefit to their employees. Use the critical value approach and a 0.05 level of significance. Perform the test manually.

b) [1 mark] Explain how to find the p-value manually (i.e., indicate what probability has to be calculated).

c) [2 marks] Finally, compute manually the 95% 2-sided confidence interval for the true difference between the proportions of high-tech and non-high-tech companies that offer incentive stock options to key employees.

d) [2 marks] Explain how the results you obtained in parts b) and c) are consistent with your conclusion in part a).

Describe at least two (2) factors from the Phase/Step 4 assessment of the PRECEDE approach that may contribute to the increase in obesity levels

Principles of Finance II WEEK 4: Discussion Prompt #2 Discuss the credit selection process and the quantitative procedure for evaluating changes in credit standards. For your response, include a financial institution's actual credit selection criteria that should be posted on their website.

In 2-4 paragraphs. Please discuss what roles that organizations such as United Nations or local governments are playing in diffusing terrorism in Nigeria.

Please provide reference/article/or links related to the issue at hand