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A Farm Co-Op Has 6,000 Acres Available to Plant with Corn

question 92

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A farm co-op has 6,000 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 40,501 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 $40 for soybeans. Round your answer to the nearest cent if necessary. ​


Definitions:

Standard Deduction

A set amount the IRS allows taxpayers to deduct from their income before income tax is applied, reducing taxable income.

Taxpayer

An individual or entity that is obligated to make payments to municipal or government taxation agencies.

Single

A filing status for a taxpayer who is unmarried and does not qualify for other filing statuses like Head of Household.

Failure To File Penalty

A penalty imposed by tax authorities for not filing a required tax return by the due date.

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