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Exam 1 - Solutions - ISE 2404 DOR Exam 1 Spring 2008 DOR...

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ISE 2404 - DOR, Exam 1 - Spring 2008 DOR #: Directions: You may use the textbook and your notebooks as reference. You may not use computers or calculators or class-mates. Please write your answers on the test sheet if possible. You have 45 minutes to complete this exam. Good luck and clear thinking. Problem 1 (30/60 points): Your professor tries to use Linear Programs whenever he can. He is going hiking on the weekend and wants to make an “optimal” trail-mix (a hiking snack) that is as light as possible (he does not want to carry too much weight), yet offers the proper range of nutrients and calories. Below are the 3 ingredients he is considering, along with the amount of nutrients per gram of ingredient: Ingredients Vitamin B Protein Calories peanuts 5 3 10 dried anchovies 20 10 15 yogurt balls 15 2 10 The following table represents the minimum amount of nutrients and calories required in the trail mix. Vitamin B Protein Calories 200 150 1000 Furthermore, your professor wants to limit the calories to at most 1500, and would like
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