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

question 63

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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. ​


Definitions:

Synaptic Receptors

Proteins located on cell surfaces in the nervous system that receive chemical signals and initiate a response in the receiving neuron.

Serotonin

A neurotransmitter that contributes to feelings of well-being and happiness, also involved in the regulation of numerous physiological processes.

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A class of psychoactive drugs used to treat conditions such as anxiety, insomnia, and seizures by enhancing the effect of the neurotransmitter GABA in the brain.

Tranquilizers

Medications designed to reduce tension or anxiety without inducing sleep.

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