A Farmer Has 150 Acres of Land Suitable for Cultivating

question 68

Essay

A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $40/acre and that of crop B is $60/acre. The farmer has a maximum of $7,600 available for land cultivation. Each acre of crop A requires 20 labor-hours, and each acre of crop B requires 25 labor-hours. The farmer has a maximum of 3,200 labor-hours available. He has also decided that he will cultivate at least 70 acres of crop A.
If he expects to make a profit of $170/acre on crop A and $230/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?
__________ acres of crop A
__________ acres of crop B
Maximum profit is $__________.

---

Definitions:

Disturbed Psychotics

Individuals with severe mental disorders that significantly disrupt their thinking, feeling, and ability to relate to others, leading to impaired functioning.

State Institution

A facility or organization created and maintained by the government to provide a specific service to the public, such as hospitals, schools, or prisons.

Fully Functioning Person

A concept in humanistic psychology referring to an individual who is living in alignment with their true self, experiencing a continuous growth process.

Sense Of Freedom

The feeling or belief that one can act, speak, or think as they want without hindrance or restraint.