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A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The company has available 31,830 units of steel and 54,050 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 9, 12 and 15 units of steel and 20, 15, and 25 units of aluminum. The company makes $3 per 1-speed bike, $4 per 3-speed, and $10 per 10-speed. Use the simplex method to complete parts (a) and (b). ..... numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit

A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The company has available 31,830 units of steel and 54,050 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 9, 12 and 15 units of steel and 20, 15, and 25 units of aluminum. The company makes $3 per 1-speed bike, $4 per 3-speed, and $10 per 10-speed. Use the simplex method to complete parts (a) and (b). ..... numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The company has available 31,830 units of steel and 54,050 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 9, 12 and 15 units of steel and 20, 15, and 25 units of aluminum. The company makes $3 per 1-speed bike, $4 per 3-speed, and $10 per 10-speed. Use the simplex method to complete parts (a) and (b). ... numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit. Maximize z = 3x, +4x2 + 10x3 subject to 9x, + 12x2 + 15x3 s31,830 20x, + 15x2 + 25x3 s 54,050 X1 20, x2 2 0, X3 2 0. (Do not factor. Do not include the $ symbol in your answers.) The maximum profit is $. To get that profit, the company should make 1-speed bicycle(s),3-speed bicycle(s), and 10-speed bicycle(s). (Type whole numbers.)
Transcribed Image Text:A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The company has available 31,830 units of steel and 54,050 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 9, 12 and 15 units of steel and 20, 15, and 25 units of aluminum. The company makes $3 per 1-speed bike, $4 per 3-speed, and $10 per 10-speed. Use the simplex method to complete parts (a) and (b). ... numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit. Maximize z = 3x, +4x2 + 10x3 subject to 9x, + 12x2 + 15x3 s31,830 20x, + 15x2 + 25x3 s 54,050 X1 20, x2 2 0, X3 2 0. (Do not factor. Do not include the $ symbol in your answers.) The maximum profit is $. To get that profit, the company should make 1-speed bicycle(s),3-speed bicycle(s), and 10-speed bicycle(s). (Type whole numbers.)
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