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.) x + y< 300 <17,500 <12,000 x 2 0, y 2 0

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.) x + y< 300 <17,500 <12,000 x 2 0, y 2 0

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Description: A farmer has 300 acres of arable land on which she wants to plant cauliflower and cabbage. The farmer has $17,500 available forplanting and $12,000 for fertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35. F

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.)
x + y< 300
<17,500
<12,000
x 2 0, y 2 0

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