Planting Crops A farmer has 300 acres of arable land onwhich she wants to plant cauliflower and cabbage. Thefarmer has $17,500 available for planting and $12,000 forfertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35. Fertilizer costs $25 for1 acre of cauliflower and $55 for 1 acre of cabbage.(a) Find a system of inequalities that describes the numberof acres of each crop that the farmer can plant with theavailable resources. Graph the feasible region.(b) Can the farmer plant 155 acres of cauliflower and115 acres of cabbage?(c) Can the farmer plant 115 acres of cauliflower and175 acres of cabbage?
Planting Crops A farmer has 300 acres of arable land onwhich she wants to plant cauliflower and cabbage. Thefarmer has $17,500 available for planting and $12,000 forfertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35. Fertilizer costs $25 for1 acre of cauliflower and $55 for 1 acre of cabbage.(a) Find a system of inequalities that describes the numberof acres of each crop that the farmer can plant with theavailable resources. Graph the feasible region.(b) Can the farmer plant 155 acres of cauliflower and115 acres of cabbage?(c) Can the farmer plant 115 acres of cauliflower and175 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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Question
Planting Crops 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. 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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