2. Farmer Nancy runs a small Midwest farm, raising cattle and pigs. Although her cattle business has been very profitable, the profit on pigs has been low, and she suspects that costs for feeding pigs have been too high. Each pig requires three basic nutrients, which we will refer to as N1, N2, and N3. Each pig requires a minimum of 10units, 15 units, and 8 units per day of the nutrients N1, N2, and N3 respectively. Nancy mixes corn and a commercial feed together to form a pig feed for use on the farm. Each pound of corn provides 3 units, 4 units, and 4 units of N1, N2, and N3 respectively, and costs $80 cents. Each pound of the commercial feed provides 5 units, 15 units, and 3 units of N1, N2, and N3 respectively, and costs 95 cents. a. Can you design a minimum cost-feed mix?
2. Farmer Nancy runs a small Midwest farm, raising cattle and pigs. Although her cattle business has been very profitable, the profit on pigs has been low, and she suspects that costs for feeding pigs have been too high. Each pig requires three basic nutrients, which we will refer to as N1, N2, and N3. Each pig requires a minimum of 10units, 15 units, and 8 units per day of the nutrients N1, N2, and N3 respectively. Nancy mixes corn and a commercial feed together to form a pig feed for use on the farm. Each pound of corn provides 3 units, 4 units, and 4 units of N1, N2, and N3 respectively, and costs $80 cents. Each pound of the commercial feed provides 5 units, 15 units, and 3 units of N1, N2, and N3 respectively, and costs 95 cents. a. Can you design a minimum cost-feed mix?
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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use graphical method to solve this LP problem.
Transcribed Image Text:2. Farmer Nancy runs a small Midwest farm, raising cattle and pigs. Although her cattle business has been very profitable,
the profit on pigs has been low, and she suspects that costs for feeding pigs have been too high. Each pig requires three
basic nutrients, which we will refer to as N1, N2, and N3. Each pig requires a minimum of 10units, 15 units, and 8 units per
day of the nutrients N1, N2, and N3 respectively. Nancy mixes corn and a commercial feed together to form a pig feed for
use on the farm. Each pound of corn provides 3 units, 4 units, and 4 units of N1, N2, and N3 respectively, and costs $80
cents. Each pound of the commercial feed provides 5 units, 15 units, and 3 units of N1, N2, and N3 respectively, and costs
95 cents. a. Can you design a minimum cost-feed mix?!
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