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A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit? 20 X colonials 80 X ranches Will any of the lots be left vacant? O Yes O No Need Help? Read It

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit? 20 X colonials 80 X ranches Will any of the lots be left vacant? O Yes O No Need Help? Read It

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 housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit? 20 X colonials 80 X ranches Will any of the lots be left vacant? Yes O No Need Help? Read It
Transcribed Image Text:A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit? 20 X colonials 80 X ranches Will any of the lots be left vacant? Yes O No Need Help? Read It
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