6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and contains 20 grams of fat and 10 grams of protein. Each unit of grain B costs P80 and contains 30 grams of fat and 30 grams of proteins. The hog raiser wants each unit of the final product to yield at least 180 grams of fat and at least 120 grams of protein. How many units of each type of grain should he use to maximize his sales? а.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 39PS
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6. For the following linear programming problems, formulate the linear programming model. Then,
find the optimal solution graphically for the LP with only 2 variables.
A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P 50 and
contains 20 grams of fat and 10 grams of protein. Each unit of grain B costs P80 and
contains 30 grams of fat and 30 grams of proteins. The hog raiser wants each unit of the final
product to yield at least 180 grams of fat and at least 120 grams of protein. How many units
of each type of grain should he use to maximize his sales?
a.
Transcribed Image Text:6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P 50 and contains 20 grams of fat and 10 grams of protein. Each unit of grain B costs P80 and contains 30 grams of fat and 30 grams of proteins. The hog raiser wants each unit of the final product to yield at least 180 grams of fat and at least 120 grams of protein. How many units of each type of grain should he use to maximize his sales? a.
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