A farmer, in the business of growing fodder for livestock, has 90 acres available for planting alfalfa and corn. The cost of seed per acre is $32 for alfalfa and $48 for corn. The total cost of labor will amount to $60 per acre for alfalfa and $30 per acre for corn. The expected revenue (before costs are subtracted) is $500 per acre from alfalfa and $700 per acre from corn. If the farmer does not wish to spend more than $3840 for seed and $4200 for labor, how many acres of each crop should be planted to obtain the maximum profit?
A farmer, in the business of growing fodder for livestock, has 90 acres available for planting alfalfa and corn. The cost of seed per acre is $32 for alfalfa and $48 for corn. The total cost of labor will amount to $60 per acre for alfalfa and $30 per acre for corn. The expected revenue (before costs are subtracted) is $500 per acre from alfalfa and $700 per acre from corn. If the farmer does not wish to spend more than $3840 for seed and $4200 for labor, how many acres of each crop should be planted to obtain the maximum profit?
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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A farmer, in the business of growing fodder for livestock, has 90 acres available for planting alfalfa and corn. The cost of seed per acre is $32 for alfalfa and $48 for corn. The total cost of labor will amount to $60 per acre for alfalfa and $30 per acre for corn. The expected revenue (before costs are subtracted) is $500 per acre from alfalfa and $700 per acre from corn. If the farmer does not wish to spend more than $3840 for seed and $4200 for labor, how many acres of each crop should be planted to obtain the maximum profit?
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