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Enlarging a Field A farmer has a rectangular cow pasture with width 100 ft. and length 180 ft. An increase the number of requires the farmer to increase the area of her pasture. She has two options:
Option 1: Increase the length of the field.
0ption 2: Increase the width at the field.
It costs $10 per foot to install new fence. Moving the old fence costs $6 per linear foot of fence to be moved.
(a) For each option, find a formula for A, the area gained, in terms of the cost C.
(b) Complete the table for the area gained in terms of the cost for each option.
(c) If the farmer has $1200 for this project, which option gives her the greatest gain in area for her money? What if she had $2000 for the project?
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Chapter P Solutions
College Algebra
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