A farm co-op has 6,008 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $70 for corn and $55 for soybeans. Round your answer to the nearest cent if necessary.
A)$386,630.00
B)$288,750.00
C)$375,080.00
D)$247,500.00
E)$394,169.00

Question

A farm co-op has 6,008 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $70 for corn and $55 for soybeans. Round your answer to the nearest cent if necessary. ​
A)$386,630.00
B)$288,750.00
C)$375,080.00
D)$247,500.00
E)$394,169.00

Quizplus · Accepted Answer

The correct answer is A.The co-op can plant a maximum of 4,500 acres of corn and 1,508 acres of soybeans. The total profit is $386,630.00.

A Farm Co-Op Has 6,008 Acres Available to Plant with Corn