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


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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.

 

-Answer the following questions with explanation:

 

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 in 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 estimated to be 4000 copies.The publisher plans to sell the text to college

 

and university bookstores for $20 each.

 

-Answer the following questions with explanation:

 

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

 

-Answer the following questions with explanation:

 

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 are estimated 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.

 

-Answer the following questions with explanation:

 

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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