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 $8000profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?   colonials   ranches Will any of the lots be left vacant? Yes/ No

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
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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 $8000profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?

  colonials
  ranches


Will any of the lots be left vacant?

Yes/ No    
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