a) Determine a joint total revenue function for sale of the three different microcomputers models. b) Determine an annual total cost function for the manufacturing the three models. c) Determine the profit function for sales of the three models.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
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Question No.2

A manufacturer of microcomputers produces three different models. The following table summarizes wholesale prices, materials cost per unit, and labor cost per unit. Annual fixed costs are $20 million.

Model-1 Model-2 Model-3

Wholesale price / Unit (in dollars) $700, $8000,  $1000

Material cost / Unit(in dollars) 185, 500 ,850

Labor cost / unit(in dollars) 150,  200 , 325

a) Determine a joint total revenue function for sale of the three different microcomputers models.

b) Determine an annual total cost function for the manufacturing the three models.

c) Determine the profit function for sales of the three models.

d) What is the annual profit if the firm sells 20,000, 40,000, and 10,000 units, respectively, of the three models

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