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 $4000 when sold. A ranch-style house requires $40,000 of capital and provides an $9000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 5CT: A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25...
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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 $4000 when sold. A ranch-style house requires $40,000 of capital and provides an $9000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?

 

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