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Exam1_11S-1 - Last Name First Name Section Signature...

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Last Name ____________________ First Name ___________________ Section _______________________ Signature ____________________ Section Numbers for Your Reference: Sectio n Day Time Instructor 1 MW 9:00-10:15 am Johanns, Patrick 2 MW 10:30-11:45 am Johanns, Patrick 3 MW 1:30-2:45 pm Johanns, Patrick 4 MW 3:00-4:15 pm Zhao, Hui 5 MW 4:30-5:45 pm Zhao, Hui MANAGEMENT SCIENCE (MGMT 30600) Spring 2011,EXAMINATION 1 February 17 th , 2011 6:30 PM – 7:30 PM Read Instructions Carefully: 1. This examination contains nine (9) pages including the cover page. It is closed book and notes. One double-sided letter-sized sheet of notes is allowed. You are expected to maintain the Academic Integrity standards of Purdue University. 2. Mark your answers for multiple-choice problems on the Scantron sheet provided. 3. For modeling questions, show all of your work in the space provided -- answers without supporting work will be given no credit. Write legibly and clearly. 4. Return the exam along with the Scantron by 7:30pm. 5. Good Luck on the exam! Problem Score Maximum Possible Modeling Questions 20 1
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Multiple-Choice Questions 30 Total 50 2
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Part I: Modeling Questions (20 points) a. (15 points) Petra Purdue wants to train for a triathlon as a way to get in shape and lose weight. She has set as a goal to complete the Muncie Olympic Triathlon on June 11 th . In this she would have to swim 1 mile, bike 24.9 miles, and run 6.2 miles. She can swim a mile in 30 minutes, bike 15 miles in an hour, and run 6 miles in an hour. She calculates that she will burn 300 calories for each mile she swims. Each mile she bikes will burn 31 calories. Each mile she runs will burn 50 calories. She has set these goals for her training: Exercise a maximum of 6 hours per week. Complete at a minimum each of the distances in the triathlon each week (1 mile of swimming, 24.9 miles of biking, and 6.2 miles of running.) Cover a total distance of at least 40 miles each week. Formulate a linear program how many hours Petra has to spend at each activity each week to maximize her calories burned. Do not solve. Decision Variables: Objective Function: Constraints: 3
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b. (5 points) Petra found that she needed to include stretching into her exercise time. She wants to spend 10 to 15% of her total exercise time stretching. Stretching burns about 200 calories in an hour. Incorporate this situation in model from part a. (You just need to write down any new variable(s), and the changed/added objective function and constraints, if any.) 4
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Part II: Multiple Choice Questions (30 points – 2.5 points each)
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