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models, the Chelan and the Orondo. Each Chelan model requires: 2000 ft of framing lumber 6000 cubic feet of concrete • $4000 for advertising • Each Orondo model requires: • 4000 ft of framing lumber • 6000 cubic feet of concrete • $6000 for advertising Contracts call for using at least 16000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If construction cost for each Chelan shed is $40,000, and the construction cost for each Orondo shed is $30,000, how many of each model should be built to minimize construction costs? Your solution must include the following: 1. The Dual Maximization Problem. 2. The initial Simplex Tableau for the dual problem. 3. The final Simplex Tableau for the dual (the tableau that shows the solution). 4. The minimum cost, and number of each type of storage shed to be built.

models, the Chelan and the Orondo. Each Chelan model requires: 2000 ft of framing lumber 6000 cubic feet of concrete • $4000 for advertising • Each Orondo model requires: • 4000 ft of framing lumber • 6000 cubic feet of concrete • $6000 for advertising Contracts call for using at least 16000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If construction cost for each Chelan shed is $40,000, and the construction cost for each Orondo shed is $30,000, how many of each model should be built to minimize construction costs? Your solution must include the following: 1. The Dual Maximization Problem. 2. The initial Simplex Tableau for the dual problem. 3. The final Simplex Tableau for the dual (the tableau that shows the solution). 4. The minimum cost, and number of each type of storage shed to be built.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A contractor builds storage sheds in two high end models, the Chelan and the Orondo. Each Chelan model requires: • 2000 ft of framing lumber • 6000 cubic feet of concrete • $4000 for advertising Each Orondo model requires: • 4000 ft of framing lumber • 6000 cubic feet of concrete • $6000 for advertising Contracts call for using at least 16000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If construction cost for each Chelan shed is $40,000, and the construction cost for each Orondo shed is $30,000, how many of each model should be built to minimize construction costs? Your solution must include the following: 1. The Dual Maximization Problem. 2. The initial Simplex Tableau for the dual problem. 3. The final Simplex Tableau for the dual (the tableau that shows the solution). 4. The minimum cost, and number of each type of storage shed to be built.
Transcribed Image Text:A contractor builds storage sheds in two high end models, the Chelan and the Orondo. Each Chelan model requires: • 2000 ft of framing lumber • 6000 cubic feet of concrete • $4000 for advertising Each Orondo model requires: • 4000 ft of framing lumber • 6000 cubic feet of concrete • $6000 for advertising Contracts call for using at least 16000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If construction cost for each Chelan shed is $40,000, and the construction cost for each Orondo shed is $30,000, how many of each model should be built to minimize construction costs? Your solution must include the following: 1. The Dual Maximization Problem. 2. The initial Simplex Tableau for the dual problem. 3. The final Simplex Tableau for the dual (the tableau that shows the solution). 4. The minimum cost, and number of each type of storage shed to be built.
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