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 Graph the feasible region. 300 Graph Layers 275 After you add an object to the graph you can use Graph Layers to view and edit its properties. 250 225 Fill 200 175 150 125 No Solution 100 75 50 25 25 50 75 100 125 150 175 200 225 250 275 300 O Help WebAssign. Graphing Tool (b) Can the farmer plant 140 acres of cauliflower and 125 acres of cabbage? O Yes O No (c) Can the farmer plant 105 acres of cauliflower and 195 acres of cabbage? Yes No

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 Graph the feasible region. 300 Graph Layers 275 After you add an object to the graph you can use Graph Layers to view and edit its properties. 250 225 Fill 200 175 150 125 No Solution 100 75 50 25 25 50 75 100 125 150 175 200 225 250 275 300 O Help WebAssign. Graphing Tool (b) Can the farmer plant 140 acres of cauliflower and 125 acres of cabbage? O Yes O No (c) Can the farmer plant 105 acres of cauliflower and 195 acres of cabbage? Yes No

Name: A farmer has 300 acres of arable land on which she wants to plant cau
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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 for planting and $12,000 for fertilizer. Planting 1 acre of cauliflower costs $70, and planting 1 acre of cabbage costs $35.

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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