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respectively, and let z be the total Maximize 2= 6x, + 12x, + 30x 8x, + 16x, + 20x s 45460 12x, +6x+ 15x s 34470 *, 20. x2 20, x3 20 (Do not factor Do not include the S symbol in your answers) subject to The maximum profit is S To get that profit, the company should make1-speed bicycle(s).D3-speed bicycle(s), and 10-speed bicycle(s) (Type whole numbers)

respectively, and let z be the total Maximize 2= 6x, + 12x, + 30x 8x, + 16x, + 20x s 45460 12x, +6x+ 15x s 34470 *, 20. x2 20, x3 20 (Do not factor Do not include the S symbol in your answers) subject to The maximum profit is S To get that profit, the company should make1-speed bicycle(s).D3-speed bicycle(s), and 10-speed bicycle(s) (Type whole numbers)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 66P
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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 45,460 units of steel and 34,470 units of aluminum The 1-, 3-, and 10-speed models need, respectively, 8, 16 and 20 units of steel and 12, 6, and 15 units of aluminum The company makes $6 per 1-speed bike, $12 per 3-speed, and $30 per 10-speed. Use the simplex method to complete parts (a) and (b). (a) How many of each type of bicycle should be made in order to maximize profit? What is the maximum profit? Set up the linear programming problem. Let x,, X2, and xy represent the numbers of 1-, 3- and 10-speed bicycles, respectively, and let z be the total profit. 2= 6x, + 12x + 30x 8x, + 16x, + 20x3 s 45460 12x, +6x + 15x s 34470 X1 20, x2 2 0, xg 20 (Do not factor. Do not include the S symbol in your answers ) Maximize subject to The maximum profit is S To get that profit, the company should make 1-speed bicycle(s). 3-speed bicycle(s). and 10-speed bilcycle(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 45,460 units of steel and 34,470 units of aluminum The 1-, 3-, and 10-speed models need, respectively, 8, 16 and 20 units of steel and 12, 6, and 15 units of aluminum The company makes $6 per 1-speed bike, $12 per 3-speed, and $30 per 10-speed. Use the simplex method to complete parts (a) and (b). (a) How many of each type of bicycle should be made in order to maximize profit? What is the maximum profit? Set up the linear programming problem. Let x,, X2, and xy represent the numbers of 1-, 3- and 10-speed bicycles, respectively, and let z be the total profit. 2= 6x, + 12x + 30x 8x, + 16x, + 20x3 s 45460 12x, +6x + 15x s 34470 X1 20, x2 2 0, xg 20 (Do not factor. Do not include the S symbol in your answers ) Maximize subject to The maximum profit is S To get that profit, the company should make 1-speed bicycle(s). 3-speed bicycle(s). and 10-speed bilcycle(s) (Type whole numbers)
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