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) 1100 acres of land are allotted, 4600 labor-hours are available, and $14,400 is available for seeds. acres of soybeans acres of corn acres of wheat (b) 1300 acres of land are allotted, 5400 labor-hours are available, and $17,600 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) 1100 acres of land are allotted, 4600 labor-hours are available, and $14,400 is available for seeds. acres of soybeans acres of corn acres of wheat (b) 1300 acres of land are allotted, 5400 labor-hours are available, and $17,600 is available for seeds. acres of soybeans acres of corn acres of wheat
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)
1100 acres of land are allotted, 4600 labor-hours are available, and $14,400 is available for seeds.
acres of soybeans
acres of corn
acres of wheat
(b)
1300 acres of land are allotted, 5400 labor-hours are available, and $17,600 is available for seeds.
acres of soybeans
acres of corn
acres of wheat
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