13. Micromedia offer a computer training seminar on a variety of topics. In the seminar each student works at a personal computer, practicing the particular activity that the instructor is presenting. Micromedia is currently planning a two-day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for the seminar is $600 per student. The cost for the conference room, instructor compensation, lab assistants, and promotion is $9600. Micromedia rent computers for its seminars at a cost of $60 per computer per day.

a. Develop a model for the total cost to put on the seminar. Let x represent the number of

students who enroll in the seminar.

b. Develop a model for the total profit if x students enroll in the seminar.

c. Micromedia has forecasted an enrollment of 30 students for the seminar. How much

profit will be earned if its forecast is accurate?

d. Compute the breakeven point.

14. Eastman publishing company is considering publishing a paperback a textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and production setup is estimated to be $160,000. Variable production and material costs are estimated to be $6 per book. Demand over the life of the book is estimated to be 4000 copies. The publisher plans to sell the text to college and university bookstores for $46 each.

a. What is the breakeven point?

b. What profit or loss can be anticipated with a demand of 3500 copies?

c. With a demand of 3500 copies, what is the minimum price per copy that the publisher

must charge to break even?

d. If the publisher believes that the price per copy could be increased to $50.95 and not

affect the anticipated demand of 4000 copies, what action would you recommend?

What profit or loss can be anticipated?

15. Preliminary plans are underway for construction of a new stadium for a major league

base- ball team. City officials question the number and profitability of the luxury corporate boxes planned for the upper deck of the stadium. Corporations and selected individuals may purchase a box for $300,000. The fixed construction cost for the upper-deck area is estimated to be $4,500,000, with a variable cost of $150,000 for each box constructed.

a. What is the breakeven point for the number of luxury boxes in the new stadium?

b. Preliminary drawings for the stadium show that space is available for the construction of up to 50 luxury boxes. Promoters indicate that buyers are available and that all 50 could be sold if constructed. What is your recommendation concerning the co

16. Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. A new client has requested that the firm handle an $800,000 portfolio. As an initial investment strategy, the client would like to restrict the portfolio to a mix of the following two stocks:

Stock Price/Share Estimated Annual

Return/Share

Oil Alaska $50 $6

Southwest Petroleum $30 $4

X= number of shares of Oil Alaska

Y = number of share of Southwest Petroleum

1. Develop the objective function, assuming that the client desires to maximize the total annual return
2. Show the mathematical expression for each of the following three constraints:
3. Total investment fund available are $800,000.
4. Maximum Oil Alaska investment $500,000.
5. Maximum Southwest Petroleum is $450,000