Jackson Farms has allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 2 labor-hours, and cultivating 1 acre of corn or wheat requires 6 labor-hours. The cost of seeds for 1 acre of soybeans is $12, the cost for 1 acre of corn is $20, and the cost for 1 acre of wheat is $8. If all resources are to be used, how many acres of each crop should be cultivated if the following hold? (a) 1000 acres of land are allotted, 3600 labor-hours are available, and $12,800 is available for seeds. acres of soybeansacres of cornacres of wheat (b) 1800 acres of land are allotted, 8000 labor-hours are available, and $24,400 is available for seeds. acres of soybeansacres of cornacres of wheat
Jackson Farms has allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 2 labor-hours, and cultivating 1 acre of corn or wheat requires 6 labor-hours. The cost of seeds for 1 acre of soybeans is $12, the cost for 1 acre of corn is $20, and the cost for 1 acre of wheat is $8. If all resources are to be used, how many acres of each crop should be cultivated if the following hold? (a) 1000 acres of land are allotted, 3600 labor-hours are available, and $12,800 is available for seeds. acres of soybeansacres of cornacres of wheat (b) 1800 acres of land are allotted, 8000 labor-hours are available, and $24,400 is available for seeds. acres of soybeansacres of cornacres of wheat
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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Jackson Farms has allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 2 labor-hours, and cultivating 1 acre of corn or wheat requires 6 labor-hours. The cost of seeds for 1 acre of soybeans is $12, the cost for 1 acre of corn is $20, and the cost for 1 acre of wheat is $8. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
(a)
1000 acres of land are allotted, 3600 labor-hours are available, and $12,800 is available for seeds.
acres of soybeansacres of cornacres of wheat
(b)
1800 acres of land are allotted, 8000 labor-hours are available, and $24,400 is available for seeds.
acres of soybeansacres of cornacres of wheat
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