. A dietician has learned from a nutrition book that his family needs at least 300 grams of protein and at least 60 milligrams per day for sound health. These nutrients can be obtained from meat and vegetable products. Each pound of meat costs ar average of P60 and contains an average of 150 grams of protein and 15 milligrams of iron while each pound of vegetables c and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutrition requirements at least cost. Requirement: . Represent the unknown in the problem and Formulate the objective function and constraints . Graph the constraints and Solve for the coordinates at the point of intersection of lines. . Find the optimum solution (substitute the coordinates at the vertices in the objective function) 1 Formulate your decision 5. Check whether the solution set is correct, find out if the constraints are satisfied and interpret.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR SOLUTIONS.
1. A dietician has learned from a nutrition book that his family needs at least 300 grams of protein and at least 60 milligrams of iron
per day for sound health. These nutrients can be obtained from meat and vegetable products. Each pound of meat costs an
average of P60 and contains an average of 150 grams of protein and 15 milligrams of iron while each pound of vegetables costs P15
and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional
requirements at least cost.
Requirement:
1. Represent the unknown in the problem and Formulate the objective function and constraints
2. Graph the constraints and Solve for the coordinates at the point of intersection of lines.
3. Find the optimum solution (substitute the coordinates at the vertices in the objective function)
4. Formulate your decision
5. Check whether the solution set is correct, find out if the constraints are satisfied and interpret.
Transcribed Image Text:SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR SOLUTIONS. 1. A dietician has learned from a nutrition book that his family needs at least 300 grams of protein and at least 60 milligrams of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each pound of meat costs an average of P60 and contains an average of 150 grams of protein and 15 milligrams of iron while each pound of vegetables costs P15 and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost. Requirement: 1. Represent the unknown in the problem and Formulate the objective function and constraints 2. Graph the constraints and Solve for the coordinates at the point of intersection of lines. 3. Find the optimum solution (substitute the coordinates at the vertices in the objective function) 4. Formulate your decision 5. Check whether the solution set is correct, find out if the constraints are satisfied and interpret.
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