Question

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 $7000 profit. If the contractor has $3.2 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

          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 $7000 profit. If the contractor has $3.2 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

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 of4000 when sold. A ranch-style house
requires 40,000 of capital and provides an7000 profit. If the contractor has 3.2 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

Added by Frank G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

03/15/2022

Step 1

Step 1: Calculate the number of colonial houses to build: Since X + Y = 100, and Y = 20 (as calculated in the explanation), we can solve for X: X + 20 = 100 X = 100 - 20 X = 80 Show more…

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