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

question 63

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

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Definitions:

Quantity

The amount or number of a material or product available or produced.

Independent Variable

The variable causing a change in some other (dependent) variable.

Dependent Variable

A variable that changes as a consequence of a change in some other (independent) variable; the “effect” or outcome.

Interest Rate

The interest rate is the percentage charged on the total amount borrowed or earned, representing the cost of borrowing money or the reward for saving.