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Consider the following production problem LP, where there are three products, each with a per-unit revenue. To build these products, three resources are required. You want to maximize revenue, given the resource requirements of each product, and the amount of each resource available. Decision variables: ₁ number of product 1 to build number of product 2 to build. number of product 3 to build ₂ 2 Max z = 10x₁ + 8x2 + 9x3 s.t. 9x1 + 7x2 + 5x3 ≤ 45 11x₁ + 10x2 + 8x3 ≤ 100 6x1 + 6x2 + 5x3 ≤ 90 X1, X2, X3 ≥ 0. (Resource 1) (Resource 2) (Resource 3) Thus, a unit of product 1, represented by x₁, requires 9 units of resource 1, 11 units of re- source 2, and 6 units of resource 3 to build, and there are 45, 100, and 90 units of resource 1, resource 2, and resource 3 available, respectfully. Problem 1 the solution and report. : Solve the LP using Excel Solver, and run a sensitivity report. Present

Consider the following production problem LP, where there are three products, each with a per-unit revenue. To build these products, three resources are required. You want to maximize revenue, given the resource requirements of each product, and the amount of each resource available. Decision variables: ₁ number of product 1 to build number of product 2 to build. number of product 3 to build ₂ 2 Max z = 10x₁ + 8x2 + 9x3 s.t. 9x1 + 7x2 + 5x3 ≤ 45 11x₁ + 10x2 + 8x3 ≤ 100 6x1 + 6x2 + 5x3 ≤ 90 X1, X2, X3 ≥ 0. (Resource 1) (Resource 2) (Resource 3) Thus, a unit of product 1, represented by x₁, requires 9 units of resource 1, 11 units of re- source 2, and 6 units of resource 3 to build, and there are 45, 100, and 90 units of resource 1, resource 2, and resource 3 available, respectfully. Problem 1 the solution and report. : Solve the LP using Excel Solver, and run a sensitivity report. Present

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following production problem LP, where there are three products, each with a per-unit revenue. To build these products, three resources are required. You want to maximize revenue, given the resource requirements of each product, and the amount of each resource available. Decision variables: ₁ number of product 1 to build number of product 2 to build • number of product 3 to build x₂ ₂ Max z 10x₁ + 8x2 + 9x3 s.t. 9x1 + 7x2 + 5x3 ≤ 45 11x₁ + 10x2 + 8x3 ≤ 100 6x₁ + 6x2 + 5x3 ≤ 90 I1, I2, I3 ≥ 0. (Resource 1) (Resource 2) (Resource 3) Thus, a unit of product 1, represented by x₁, requires 9 units of resource 1, 11 units of re- source 2, and 6 units of resource 3 to build, and there are 45, 100, and 90 units of resource 1, resource 2, and resource 3 available, respectfully. Problem 1 the solution and report. : Solve the LP using Excel Solver, and run a sensitivity report. Present
Transcribed Image Text:Consider the following production problem LP, where there are three products, each with a per-unit revenue. To build these products, three resources are required. You want to maximize revenue, given the resource requirements of each product, and the amount of each resource available. Decision variables: ₁ number of product 1 to build number of product 2 to build • number of product 3 to build x₂ ₂ Max z 10x₁ + 8x2 + 9x3 s.t. 9x1 + 7x2 + 5x3 ≤ 45 11x₁ + 10x2 + 8x3 ≤ 100 6x₁ + 6x2 + 5x3 ≤ 90 I1, I2, I3 ≥ 0. (Resource 1) (Resource 2) (Resource 3) Thus, a unit of product 1, represented by x₁, requires 9 units of resource 1, 11 units of re- source 2, and 6 units of resource 3 to build, and there are 45, 100, and 90 units of resource 1, resource 2, and resource 3 available, respectfully. Problem 1 the solution and report. : Solve the LP using Excel Solver, and run a sensitivity report. Present
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