Jackson Farms have allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 4 labor-hours, and cultivating 1 acre of corn or wheat requires 7 labor-hours. The cost of seeds for 1 acre of soybeans is $13, for 1 acre of corn is $20, and for 1 acre of wheat is $7. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
1,500 acres of land are allotted, 9,600 labor-hours are available, and $18,800 is available for seeds.

A) 300 acres of soybeans, 500 acres of corn, 700 acres of wheat
B) 100 acres of soybeans, 600 acres of corn, 700 acres of wheat
C) 100 acres of soybeans, 500 acres of corn, 800 acres of wheat
D) 300 acres of soybeans, 600 acres of corn, 800 acres of wheat

Question

Jackson Farms have allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 4 labor-hours, and cultivating 1 acre of corn or wheat requires 7 labor-hours. The cost of seeds for 1 acre of soybeans is $13, for 1 acre of corn is $20, and for 1 acre of wheat is $7. If all resources are to be used, how many acres of each crop should be cultivated if the following hold? ​
1,500 acres of land are allotted, 9,600 labor-hours are available, and $18,800 is available for seeds.
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A) 300 acres of soybeans, 500 acres of corn, 700 acres of wheat
B) 100 acres of soybeans, 600 acres of corn, 700 acres of wheat
C) 100 acres of soybeans, 500 acres of corn, 800 acres of wheat
D) 300 acres of soybeans, 600 acres of corn, 800 acres of wheat

Quizplus · Accepted Answer

The correct answer is A because it satisfies all the given conditions: 1,500 acres of land are allotted, 9,600 labor-hours are available, and $18,800 is available for seeds.

Jackson Farms Have Allotted a Certain Amount of Land for Cultivating