Need a 2-3 page memoradum with references in APA format for the following proble

Question

Need a 2-3 page memoradum with references in APA format for the following problem, I have included background information also:

Problem:

The presentation to the Board went extremely well, and you made some clear points about the need to expand in the U.S. and abroad.
One question that arose during the meeting was about how the firm's profitability in their toothpaste division would be impacted by the expansion. The Board asked you to assess the profit potential using marginal analysis.
It is assumed that the toothpaste market is perfectly competitive and the current price of a case of toothpaste is $42.00. CPI has estimated its marginal cost function to bas follows: MC=.006Q.
1. The Board would like to know how many cases of toothpaste should be produced in order to maximize profits.
2. What would happen if CPI decided to raise prices unilaterally in this toothpaste market?
3. What would happen to the profit maximizing level of output if the market price suddenly rose to $54 per case? Explain why the output level changes.
4. Could CPI benefit by advertising in this perfectly competitive market?
5. If CPI was somehow able to monopolize the market what would happen to the price of toothpaste, would it rise or fall?
6. What would happen to the profits CPI makes via their toothpaste division?



Background Scenario:
Consumer Products Inc. (CPI) is a U.S. regional consumer products company located in Phoenix, Arizona. The company manufactures and distributes a small line of consumer products to retailers in major western cities including Los Angeles, San Francisco, Seattle, Portland, and Phoenix. The company has an excellent reputation as a good corporate citizen and producer of some of the highest quality products in the business.
CPI’s three major brands are Shades of Youth, a hair care line that recently has been doing extremely well as the aging baby boomers look for products to help retain some of their youth; Super Clean, a line of detergent and bleach products; and Super White, a line of tooth paste that quickly and safely whitens teeth. Super Clean is the anchor division, and it was the sole line of products the company had when Javier Lopez founded it in 1951. The company launched Shades of Youth in 1975 and Super White in 1980.
You have headed up the Super Clean division for the last 8 years and were recently promoted to Chairperson of the Board and Chief Executive Officer (CEO). The firm went public ten years ago under the leadership of your predecessor as CEO, Regina Baker. CPI is well established on Wall Street and has a reputation of being a good company that is conservative and a safe investment.
With only a U.S. regional presence and $200 million in revenue, you are clearly aware that the company’s ability to compete with the industry giants (Procter & Gamble, Unilever, Colgate, and Gillette) is limited. You believe that the firm must expand to other regions in the U.S. and begin international expansion if it is going to grow and prosper over the next decade.
The Board has reservations about making such bold moves, arguing that the company has been a successful regional company for over 50 years and can remain a niche player in the consumer products business. You see things differently. You see that the market is changing and competitors are becoming more aggressive by making acquisitions or developing new products that are extremely competitive with CPI’s brands. More importantly, you believe that the company will either be crushed by competition or forced into a merger to survive.
You know the task ahead of you is daunting. As you approach the challenge of persuading the Board to expand, you believe it is critical that you outline the global macroeconomic issues that are driving the industry and articulate the microeconomic dynamics that are central to the firm’s success. Ultimately, you see this as a decision-making problem. The Board must make the right decision now because the survival of the firm is at stake.

Explanation / Answer

To find profit maximization companies will produce in quantity until change in profit is zero. So, your equation to figure this out is (MR-MC) = 0 change from production profits of one case. or ((TR/Q)-(TC/Q)) = 0 change because (TR/Q)=MR and (TC/Q)=MR For your answer: Casses to be produced should be 7,000 Because: Quantity = 7,000 - right! Total cost = (7000 x .006) = 42 Total revenue = ( 7,000 x 42) = 294,000 Marginal revenue = (294,000 / 7000) = 42 Marginal Cost = (42 / 7000) = .006 And (MR - MC) or (42 - .006) = 41.994 So producing 7000 cases of toothpaste holds no change in profits from producing 1 case. Therefore, this is the most cases that should be produced in order to maximize profits.

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