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 No Solution Help Graph the feasible region. x ≥ 0, y 20 300 275 250 225 200 175 150 125 100 75 ≤ 17,500 50 ≤ 12,000 25 25 50 75 100 125 150 175 200 225 250 275 300 Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties.
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 No Solution Help Graph the feasible region. x ≥ 0, y 20 300 275 250 225 200 175 150 125 100 75 ≤ 17,500 50 ≤ 12,000 25 25 50 75 100 125 150 175 200 225 250 275 300 Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.5: Systems Of Inequalities
Problem 70E
Related questions
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
No
Solution
|
Graph the feasible region.
Help
≤ 12,000
x 20, y 20
300
275
250
225
200
175
150
125
100
75
≤ 17,500
50
25
25
50
75
100 125 150 175 200 225
250 275 300
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F440d2c65-dd17-4044-a6f0-e9226b6d098e%2Fa4094dc2-409c-46b0-9b6c-7c2e34aab6e6%2Fcz9zx6_processed.png&w=3840&q=75)
Transcribed Image Text: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
No
Solution
|
Graph the feasible region.
Help
≤ 12,000
x 20, y 20
300
275
250
225
200
175
150
125
100
75
≤ 17,500
50
25
25
50
75
100 125 150 175 200 225
250 275 300
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
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