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 $12, for 1 acre of corn is $21, and for 1 acre of wheat is $9. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?

1,200 acres of land are allotted, 7,200 labor-hours are available, and $19,200 is available for seeds.

acres of soybean: __________

acres of corn: __________

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 $12, for 1 acre of corn is $21, and for 1 acre of wheat is $9. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
​
1,200 acres of land are allotted, 7,200 labor-hours are available, and $19,200 is available for seeds.
​
acres of soybean: __________
​
acres of corn: __________
​
acres of wheat: __________

Quizplus · Accepted Answer

The Answer of 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 $12, for 1 acre of corn is $21, and for 1 acre of wheat is $9. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
​
1,200 acres of land are allotted, 7,200 labor-hours are available, and $19,200 is available for seeds.
​
acres of soybean: __________
​
acres of corn: __________
​
acres of wheat: __________

Jackson Farms Have Allotted a Certain Amount of Land for Cultivating