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 planing 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. Graph the feasible region.(b) Can the farmer plant 155 acres of cauliflower and 115 acres of cabbage?(c) Can the farmer plant 115 acres of cauliflower and 175 acres of cabbage?
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 planing 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. Graph the feasible region.(b) Can the farmer plant 155 acres of cauliflower and 115 acres of cabbage?(c) Can the farmer plant 115 acres of cauliflower and 175 acres of cabbage?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.5: Systems Of Inequalities
Problem 70E
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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 planing 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. Graph the feasible region.
(b) Can the farmer plant 155 acres of cauliflower and 115 acres of cabbage?
(c) Can the farmer plant 115 acres of cauliflower and 175 acres of cabbage?
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