The poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (400 milligrams) and iron (500 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 75 milligrams of vitamin K and 150 milligrams of iron. A unit of alfalfa contains 50 milligrams of vitamin K and 250 milligrams of iron. Formulate the linear programming model for this situation and find the optimal solution using graphical methods. Formulate the linear programming model for this situation and find the optimal solution using graphical methods.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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The poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in
rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's
chickens have a minimum daily requirement of vitamin K (400 milligrams) and iron (500
milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other
grain. A unit of con contains 75 milligrams of vitamin K and 150 milligrams of iron. A unit of
alfalfa contains 50 milligrams of vitamin K and 250 milligrams of iron. Formulate the linear
programming model for this situation and find the optimal solution using graphical methods.
Formulate the linear programming model for this situation and find the optimal solution using
graphical methods.
2-2)
Solve the following graphically (attach your graph):
Max z = 3x1 + 4x2
s.t. x1 + 2x2 < 16
2x1 + 3x2 < 18
x1 22
x2 < 10
х1, х2 >0
What are the optimal values of x1, x2, and z?
Transcribed Image Text:The poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (400 milligrams) and iron (500 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of con contains 75 milligrams of vitamin K and 150 milligrams of iron. A unit of alfalfa contains 50 milligrams of vitamin K and 250 milligrams of iron. Formulate the linear programming model for this situation and find the optimal solution using graphical methods. Formulate the linear programming model for this situation and find the optimal solution using graphical methods. 2-2) Solve the following graphically (attach your graph): Max z = 3x1 + 4x2 s.t. x1 + 2x2 < 16 2x1 + 3x2 < 18 x1 22 x2 < 10 х1, х2 >0 What are the optimal values of x1, x2, and z?
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ISBN:
9781337406659
Author:
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Publisher:
Cengage,