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Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂.

Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂.

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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Mile-High Microbrewery makes a light beer and a dark beer. Mile-high has a limited supply of barley, limited bottling capacity, and a limited market for light beer. Profits are $0.20 per bottle of light beer and $0.40 per bottle of dark beer. The following table shows resource availability of products at the Mile-High Microbrewery: Resource Barley Bottling Market Product Dark beer, X₂ Light beer, X₁ 0.1 gram 1 bottle 1 bottle 0.3 gram 1 bottle a. Let X₁ = number of bottles of light beer, X₂ = number of bottles of dark beer. Resource availability (per month) 1,500 grams 6.000 bottles 4,000 bottles Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂. 6000 5500- 5000- 4500- 4000- 3500- 3000 2500- 2000- 1500- 1000- 500- 0+ 0 2000 4000 Objective functions X1 6000 8000 10000
Transcribed Image Text:Mile-High Microbrewery makes a light beer and a dark beer. Mile-high has a limited supply of barley, limited bottling capacity, and a limited market for light beer. Profits are $0.20 per bottle of light beer and $0.40 per bottle of dark beer. The following table shows resource availability of products at the Mile-High Microbrewery: Resource Barley Bottling Market Product Dark beer, X₂ Light beer, X₁ 0.1 gram 1 bottle 1 bottle 0.3 gram 1 bottle a. Let X₁ = number of bottles of light beer, X₂ = number of bottles of dark beer. Resource availability (per month) 1,500 grams 6.000 bottles 4,000 bottles Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂. 6000 5500- 5000- 4500- 4000- 3500- 3000 2500- 2000- 1500- 1000- 500- 0+ 0 2000 4000 Objective functions X1 6000 8000 10000
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