Feedco produces two types of cattle feed, bothconsisting totally of wheat and alfalfa. Feed 1 must containat least 80% wheat, and feed 2 must contain at least 60%alfalfa. Feed 1 sells for $1.50/lb, and feed 2 sells for $1.30/lb.Feedco can purchase up to 1,000 lb of wheat at 50¢/lb andup to 800 lb of alfalfa at 40¢/lb. Demand for each type offeed is unlimited. Formulate an LP to maximize Feedco’sprofit.
Feedco produces two types of cattle feed, bothconsisting totally of wheat and alfalfa. Feed 1 must containat least 80% wheat, and feed 2 must contain at least 60%alfalfa. Feed 1 sells for $1.50/lb, and feed 2 sells for $1.30/lb.Feedco can purchase up to 1,000 lb of wheat at 50¢/lb andup to 800 lb of alfalfa at 40¢/lb. Demand for each type offeed is unlimited. Formulate an LP to maximize Feedco’sprofit.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
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Feedco produces two types of cattle feed, both
consisting totally of wheat and alfalfa. Feed 1 must contain
at least 80% wheat, and feed 2 must contain at least 60%
alfalfa. Feed 1 sells for $1.50/lb, and feed 2 sells for $1.30/lb.
Feedco can purchase up to 1,000 lb of wheat at 50¢/lb and
up to 800 lb of alfalfa at 40¢/lb. Demand for each type of
feed is unlimited. Formulate an LP to maximize Feedco’s
profit.
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