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 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 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= 6X+ 15 Y a) Objective function: Subject to: 4X + 2Y 4X+ 12Y ≤ 48 (C₁) ≤ 120 (C₂) X, Y 20 b) On the graph on right, constraints C, and C₂ have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places).

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 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 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= 6X+ 15 Y a) Objective function: Subject to: 4X + 2Y 4X+ 12Y ≤ 48 (C₁) ≤ 120 (C₂) X, Y 20 b) On the graph on right, constraints C, and C₂ have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places).

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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