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A television set manufacturing firm has to decide on the mix of color and black-

ID: 3079942 • Letter: A

Question

A television set manufacturing firm has to decide on the mix of color and black-and-white TVs to be produced. A market research indicates that, at most, 2000 units and 4000 units of color and black-and-white TVs can be sold per month. The maximum number of man-hours available is 60,000 per month. A color TV requires 20 man-hours and a black-and-white TV requires 15 man-hours to manufacture. The unit profits of the color and black-and-white TVs are $60 and $30, respectively. It is desired to find the number of units of each TV type that the firm must produce in order to maximize its profit. Formulate the problem as a linear program.

Explanation / Answer

c (color television)
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