A dairy farmer chooses between two types of food for his small herd of cows. Let x be the number of pounds of alfalfa hay and y be the number of pounds of ground ears of corn to be bought. How many pounds of each food should be purchased in order to meet the nutritiona requirements at the least cost, if the objective function is x + 1.6y? (See the graph of the feasible set on the right.)

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
Problem 39E
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A dairy farmer chooses between two
types of food for his small herd of cows.
Let x be the number of pounds of alfalfa
hay and y be the number of pounds of
ground ears of com to be bought. How
many pounds of each food should be
purchased in order to meet the nutritional
requirements at the least cost, if the
objective function is x + 1.6y? (See the
graph of the feasible set on the right.)
The number of pounds of affalfa hay, x,
is equal to
65,000
26,000
x=19,000
feasible
set
y=-2x+65,000
y=-0.5x+26,
32,500 52,000
Transcribed Image Text:A dairy farmer chooses between two types of food for his small herd of cows. Let x be the number of pounds of alfalfa hay and y be the number of pounds of ground ears of com to be bought. How many pounds of each food should be purchased in order to meet the nutritional requirements at the least cost, if the objective function is x + 1.6y? (See the graph of the feasible set on the right.) The number of pounds of affalfa hay, x, is equal to 65,000 26,000 x=19,000 feasible set y=-2x+65,000 y=-0.5x+26, 32,500 52,000
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