A farmer has 300 acres of arable land on which she wants to plant cauliflower and cabbage. The farmer has $17,500 available for planting and $12,000 for fertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35. Fertilizer costs $25 for 1 acre of cauliflower and $55 for 1 acre of cabbage. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of cauliflower and cabbage, respectively.)
A farmer has 300 acres of arable land on which she wants to plant cauliflower and cabbage. The farmer has $17,500 available for planting and $12,000 for fertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35. Fertilizer costs $25 for 1 acre of cauliflower and $55 for 1 acre of cabbage. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of cauliflower and cabbage, respectively.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.5: Systems Of Inequalities
Problem 70E
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