A rancher raises chickens and pigs on his 500–acre ranch. Each chicken requires 1 acres of land and needs $25 of veterinary care per year while each pig requires 4 acres of land and needs $50 of veterinary care per year. If the rancher can afford no more than $8,550 for veterinary care this year. If the expected profit is $40 for each chicken and $110 for each pig, how many of each animal should he raise to obtain the greatest possible profit? a). What is the system of inequalities. b) Solve using the graphical method (sketch graph shade, list all corner points) state solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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A rancher raises chickens and pigs on his 500–acre ranch. Each chicken requires 1 acres of land and needs $25 of veterinary care per year while each pig requires 4 acres of land and needs $50 of veterinary care per year. If the rancher can afford no more than $8,550 for veterinary care this year. If the expected profit is $40 for each chicken and $110 for each pig, how many of each animal should he raise to obtain the greatest possible profit?

a). What is the system of inequalities.

b) Solve using the graphical method (sketch graph shade, list all corner points) state solution.

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