A Farm Co-Op Has 6,001 Acres Available to Plant with Corn

Multiple Choice

A farm co-op has 6,001 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 1 hour 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 $75 for corn and $45 for soybeans. Round your answer to the nearest cent if necessary. ​

A) $236,250.00
B) $393,750.00
C) $202,500.00
D) $382,530.00
E) $335,472.97