A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50, and for each acre of soybeans planted, her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of storage space available is 19, 200 bushels and the farmer has only $20, 000 on hand, which inequalities would represent the land, storage and dollars constraints, respectively? a) 100x + 40y≤ 19,200; x+y> 320; 60x +90y≤ 20,000 b) x + y < 320; 50x+100y≤20,000; 60x +90y≤ 19,200 c) 50x+100y ≥ 20,000; 100x + 40y ≥ 19,200; x + y < 320 d) x + y ≤ 320; 100x + 40y≤19,200; 50x+100y≤20, 000

A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50, and for each acre of soybeans planted, her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of storage space available is 19, 200 bushels and the farmer has only $20, 000 on hand, which inequalities would represent the land, storage and dollars constraints, respectively? a) 100x + 40y≤ 19,200; x+y> 320; 60x +90y≤ 20,000 b) x + y < 320; 50x+100y≤20,000; 60x +90y≤ 19,200 c) 50x+100y ≥ 20,000; 100x + 40y ≥ 19,200; x + y < 320 d) x + y ≤ 320; 100x + 40y≤19,200; 50x+100y≤20, 000

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...

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