armer has 103 acres on which to plant oats or corn. Each acre of oats requires​ $18 capital and 2 hours of labor. Each acre of corn requires​ $36 capital and 6 hours of labor. Labor costs are​$8 per hour. The farmer has​ $2100 available for capital and​ $2400 available for labor. If the revenue is ​$58 from each acre of oats and ​$120 from each acre of​ corn, what planting combination will produce the greatest total​ profit? ​ (Profit here is revenue plus leftover capital and labor cash​ reserve.) What is the maximum​profit?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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farmer has 103 acres on which to plant oats or corn. Each acre of oats requires​ $18 capital and 2 hours of labor. Each acre of corn requires​ $36 capital and 6 hours of labor. Labor costs are​$8 per hour. The farmer has​ $2100 available for capital and​ $2400 available for labor. If the revenue is ​$58 from each acre of oats and ​$120 from each acre of​ corn, what planting combination will produce the greatest total​ profit? ​ (Profit here is revenue plus leftover capital and labor cash​ reserve.) What is the maximum​profit?
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