Quiz 2_Solution

# Quiz 2_Solution - 311 Operations Management Fall 2007 Name...

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311 Operations Management Fall 2007 Name________________________ Section_______________________ Quiz #2 – Linear Programming - SOLUTIONS 1. A special food diet program is chosen from the following food: bread, potato, meat, bean, and eggs. The cost and nutrition per unit of certain food are shown in the following table. Daily minimum requirement of calories is 2200, Vitamin C 60, Protein 80, and Fat 10. In addition, daily fat consumption cannot exceed 50. A dietician asked you to develop an LP model to find the cheapest possible mean plan. Bread Potato Meat Beans Eggs Units lb lb oz lb number Cost \$1.89 \$0.75 \$0.48 \$2.29 \$0.15 Contain: Calories 280 250 43 78 160 Vitamin C 0 70 0 50 0 Protein 3 5 40 12 10 Fat 8 2 25 3 18 a) Write all the decision variables (10 points) 2 points for each variable X 1 : Number of pound of bread to consume X 2 : Number of pound of potato to consume X 3 : Number of ounce of meat to consume X 4 : Number of pound of bean to consume X 5 : Number of eggs to consume b)

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Quiz 2_Solution - 311 Operations Management Fall 2007 Name...

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