Lewis model requires: 2000 ft of framing lumber 6000 cubic feet of concrete $4000 for advertising Jefferson 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 Lewis shed is $40,000, and the construction cost for each Jefferson shed is $30,000, how many of each model should be built to minimize construction costs?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Lewis model requires:
2000 ft of framing lumber
6000 cubic feet of concrete
$4000 for advertising
Jefferson 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 Lewis shed is
$40,000, and the construction cost for each Jefferson shed is $30,000, how many of
each model should be built to minimize construction costs?
You must include
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:Lewis model requires: 2000 ft of framing lumber 6000 cubic feet of concrete $4000 for advertising Jefferson 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 Lewis shed is $40,000, and the construction cost for each Jefferson shed is $30,000, how many of each model should be built to minimize construction costs? You must include 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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