Jackson Farms have alloted a certain amount of land for cultivating soybeans, corn and wheat. Cultivating 1 acre of soybeans requires 3 labor-hours, and cultivating 1 acre of corn or wheat requires 6 labor-hours. The cost of seeds for 1 acre of soybeans is $15, for 1 acre of corn is $23, and for 1 acre of wheat is $14. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
1,300 acres of land are alloted, 5,700 labor-hours are available and $21,600 is available for seeds.

Question

Jackson Farms have alloted a certain amount of land for cultivating soybeans, corn and wheat. Cultivating 1 acre of soybeans requires 3 labor-hours, and cultivating 1 acre of corn or wheat requires 6 labor-hours. The cost of seeds for 1 acre of soybeans is $15, for 1 acre of corn is $23, and for 1 acre of wheat is $14. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?

1,300 acres of land are alloted, 5,700 labor-hours are available and $21,600 is available for seeds.

Answer

700 acres of soybeans, 100 acres of corn, 400 acres of wheat

Answer

1,000 acres of soybeans, 100 acres of corn, 300 acres of wheat

Answer

700 acres of soybeans, 300 acres of corn, 300 acres of wheat

Answer

1,000 acres of soybeans, 300 acres of corn, 400 acres of wheat

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Jackson Farms have alloted a certain amount of land for cultivating soybeans, co...

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