13a Example Problems

# 13a Example Problems - Example 1 Production Schedule A company manufactures two products A and B which can be sold for \$120 per unit and \$80 per

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Example 1 Production Schedule A company manufactures two products, A and B, which can be sold for \$120 per unit and \$80 per unit, respectively. Management requires that at least 1000 units be manufactured each month. Product A requires five hours of labor per unit, and product B requires three hours . The cost of labor is \$12 per hour and a total of 8000 hours are available per month. Determine a monthly production schedule that will maximize the company’s profit.

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Example 2 – Minimum Weight Structure A structure consists primarily of two cylindrical load-bearing columns whose radii, in feet are x 1 and x 2 respectively. The weight of the structure, in thousands of pounds, is given by the expression Y = 10 + (x 1 -0.5) 2 + (x 2 - .5) 2 Determine the values of x1 and x2 that will minimize the weight of the structure subject to the following requirements
Example 2 (continued) 1. The combined cross-sectional area of the two columns must be at least 10 square feet

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## This note was uploaded on 11/14/2008 for the course CEE 3804 taught by Professor Aatrani during the Fall '07 term at Virginia Tech.

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13a Example Problems - Example 1 Production Schedule A company manufactures two products A and B which can be sold for \$120 per unit and \$80 per

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