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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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