Question

A contractor is starting a new housing development consisting of colonial, split-level, and ranch-style houses. A colonial house requires ½ acre of land, $60,000 capital, 4000 labor hours to construct, and returns a profit of $20,000. A split-level house requires ½ acre of land, $60,000 capital, 3000 labor hours to construct, and returns a profit of $18,000. A ranch house requires 1 acre of land, $80,000 capital, 4000 labor hours to construct, and returns a profit of $24,000. The contractor has 30 acres of land, $3,200,000 capital, and 180,000 labor hours available. How many of each type of house should be constructed to maximize profit? What is the maximum profit?

          A contractor is starting a new housing development consisting of colonial, split-level, and ranch-style houses. A colonial house requires ½ acre of land, $60,000 capital, 4000 labor hours to construct, and returns a profit of $20,000. A split-level house requires ½ acre of land, $60,000 capital, 3000 labor hours to construct, and returns a profit of $18,000. A ranch house requires 1 acre of land, $80,000 capital, 4000 labor hours to construct, and returns a profit of $24,000. The contractor has 30 acres of land, $3,200,000 capital, and 180,000 labor hours available. How many of each type of house should be constructed to maximize profit? What is the maximum profit?

A contractor is starting a new housing development consisting of colonial, split-level, and ranch-style houses. A colonial house requires ½ acre of land, 60,000 capital, 4000 labor hours to construct, and returns a profit of20,000. A split-level house requires ½ acre of land, 60,000 capital, 3000 labor hours to construct, and returns a profit of18,000. A ranch house requires 1 acre of land, 80,000 capital, 4000 labor hours to construct, and returns a profit of24,000. The contractor has 30 acres of land, 3,200,000 capital, and 180,000 labor hours available. How many of each type of house should be constructed to maximize profit? What is the maximum profit?

Added by Michael L.

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