## [answered] Micromedia offers computer training seminars on a variety o

1. Micromedia offers computer training seminars on a variety of?topics. In the seminars each?student works at a personal computer, practicing the particular?activity that?the instructor?is presenting. FBJU is currently planning a two-day seminar on?the use of Microsoft Excel?in statistical analysis. The projected fee for the seminar is \$?300 per student. The cost of?instructor compensation, lab assistants, and promotion is \$2800. The cost for the?conference room is \$1000 per?day.?FBJU?rents?computers for its?seminars at a cost of?\$30 per computer per day. The cost of course materials and certificate is \$20 per student.?Snacks and coffee breaks cost is \$10 per student per day.?Let?x?represent the number of students who enroll in the seminar.

a) Develop a model for the total cost to put on the seminar.

b) Develop a model for the total profit.

c) How much profit/loss will be earned if 30 students enroll is?the seminar.

d) Compute the breakeven point.

2. A Publishing Company is considering publishing a paperback textbook on spreadsheet?applications for business. The fixed cost of manuscript preparation, textbook design, and?production setup is estimated to be \$80,000. Variable production and material costs areestimated at \$3 per book. Demand over the life of the book is e

stimated to be 4000 copies.The publisher plans to sell the text to college and university?bookstores for \$20 each.

a) What is the breakeven point?

b) What profit or loss can be anticipated with a demand of 4000 copies?

c) With a demand of 4000 copies, what is the minimum price per?copy that thepublisher must charge to break even?

3. For the following linear program problem:

Max?5A + 2B

Such That:

1A - 2B ? 420

2A + 3B ? 610

6A - 1B ? 125

A, B ? 0

a) Write the linear program in standard form.

b) Draw the constraints lines and shade in the feasible region?on the graph.

c) Identify the optimal extreme point. What is the optimal solution?

d) Which constraints are binding? Explain.

e) How much slack or surplus is associated with the nonbinding?constraint?

4. Americana makes two salsa products: Western Foods Salsa and?Mexico City Salsa.?Essentially, the two products have different blends of whole tomatoes, tomato sauce, and?tomato paste. The Western Foods Salsa is a blend of 50% whole tomatoes, 30% tomato?sauce, and 20% tomato paste. The Mexico City Salsa, which has a

thicker and chunkier?consistency, consists of 70% whole tomatoes, 10% tomato sauce,?and 20% tomato paste.?Each jar of salsa produced weighs 1 Kg. For the current production period, Americana,can purchase up to 280 Kg of whole tomatoes, 130 Kg of tomato sauce, and 100 Kg of?tomato paste; the price per Kg for?these?ingredients is \$0.96,\$0.64, and \$0.56,respectively. The cost of the spices and the other ingredients?is approximately \$0.10 per?jar. Americana, buys empty glass jars for \$0.02 each, and labeling and filling costs areestimated to be \$0.03 for each jar of salsa produced. The sales?revenue of \$1.64 for each?jar of Western Foods Salsa and \$1.93 for each jar of Mexico City Salsa.

a) Develop a linear programming?model that will enable Americana to determine the?mix of salsa products that will maximize the total profit contribution.

b) Find the optimal solution.

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