A costs $4 and contains 20 grams of fat, 30 grams of protein, and 800 calories. Each unit of grain B costs $4.80 and contains 30 grams of fat, 30 grams of protein and 600 calories. Suppose that the poultry raiser wants each unit of the final product to yield at least 180 grams of fat, at least 120 grams of protein and at least 4800 calories. How many units of each type of grain should the poultry raiser use to minimize his cost? Solve using linear programming (graphical method)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 34P
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A poultry raiser wants to mix two types of grain: A and B. Each unit of grain A costs $4 and contains 20 grams of fat, 30 grams of protein, and 800 calories. Each unit of grain B costs $4.80 and contains 30 grams of fat, 30 grams of protein and 600 calories. Suppose that the poultry raiser wants each unit of the final product to yield at least 180 grams of fat, at least 120 grams of protein and at least 4800 calories. How many units of each type of grain should the poultry raiser use to minimize his cost? Solve using linear programming (graphical method)
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