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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 16,000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If the 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?
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 16,000 ft of framing lumber, 36,000 cubic feet of concrete, and $30,000 worth of advertising. If the 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?
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