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) 1200 acres of land are allotted, 4800 labor-hours are available, and $15,600 is available for seeds. acres of soybeans acres of corn acres of wheat (b) 1200 acres of land are allotted, 5200 labor-hours are available, and $16,400 is available for seeds. acres of soybeans acres of corn acres 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) 1200 acres of land are allotted, 4800 labor-hours are available, and $15,600 is available for seeds. acres of soybeans acres of corn acres of wheat (b) 1200 acres of land are allotted, 5200 labor-hours are available, and $16,400 is available for seeds. acres of soybeans acres of corn acres of wheat
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Transcribed Image Text: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) 1200 acres of land are allotted, 4800 labor-hours are available, and $15,600 is available for seeds.
acres of soybeans
acres of corn
acres of wheat
(b) 1200 acres of land are allotted, 5200 labor-hours are available, and $16,400 is available for seeds.
acres of soybeans
acres of corn
acres of wheat
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