A farmer owns a 120 acre farm and plans to plant at most three crops. The seed for crops A,B and C costs $40 ,$ 20 and $30 per acre , respectively . A maximum of $3200 can be spent on seed . Crops A,B and C require 1,2 and 1 workdays per acre , respectively , and there are Maximum of 160 workdays available . If the farmer can make a profit of $100 per acre on crop A , $300 per acre on crop B and $200 per acre on crop C , How many acres of each crop should be planted to maximize profits? Use Simplex Method

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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A farmer owns a 120 acre farm and plans to plant at most three crops. The seed for crops A,B and C costs $40 ,$ 20 and $30 per acre , respectively . A maximum of $3200 can be spent on seed . Crops A,B and C require 1,2 and 1 workdays per acre , respectively , and there are Maximum of 160 workdays available . If the farmer can make a profit of $100 per acre on crop A , $300 per acre on crop B and $200 per acre on crop C , How many acres of each crop should be planted to maximize profits? Use Simplex Method

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,