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?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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