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 (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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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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