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imber of bluebird houses to be produced a) Objective function: Z=x+Y

imber of bluebird houses to be produced a) Objective function: Z=x+Y

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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A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 72 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to Maximize the objective value. Decision variables: X = number of wren houses to be produced Y = number of bluebird houses to be produced Z=x+Y a) Objective function:
Transcribed Image Text:A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 72 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to Maximize the objective value. Decision variables: X = number of wren houses to be produced Y = number of bluebird houses to be produced Z=x+Y a) Objective function:
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Step 1 Introduction:-

Linear programming is a mathematical technique that is also used in operations management departments. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.

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