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The Springer Dog food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts of protein and vitamins. Ingredient A provides 16 units of protein and 4 units of vitamins per pound. Ingredient B provides 8 units of protein and 8 units of vitamins per pound. Ingredients A and B costs GH¢0.50 and GH¢0.20 per pound, respectively. The company wants its dog food to contain at least 12 units of protein and 6 units of vitamins per pound and be as inexpensive as possible.            Define the decision variables for production problem.           Formulate a linear programming model for this problem.          Solve this model by using graphical analysis.

The Springer Dog food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts of protein and vitamins. Ingredient A provides 16 units of protein and 4 units of vitamins per pound. Ingredient B provides 8 units of protein and 8 units of vitamins per pound. Ingredients A and B costs GH¢0.50 and GH¢0.20 per pound, respectively. The company wants its dog food to contain at least 12 units of protein and 6 units of vitamins per pound and be as inexpensive as possible.            Define the decision variables for production problem.           Formulate a linear programming model for this problem.          Solve this model by using graphical analysis.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The Springer Dog food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts of protein and vitamins. Ingredient A provides 16 units of protein and 4 units of vitamins per pound. Ingredient B provides 8 units of protein and 8 units of vitamins per pound. Ingredients A and B costs GH¢0.50 and GH¢0.20 per pound, respectively. The company wants its dog food to contain at least 12 units of protein and 6 units of vitamins per pound and be as inexpensive as possible.

           Define the decision variables for production problem. 

         Formulate a linear programming model for this problem.

         Solve this model by using graphical analysis.  

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