2007 midterm answers

2007 midterm answers - RUTGERS BUSINESS SCHOOL Undergraduate Program New Brunswick Midterm Examination 33:623:386:B6 Dr M Markowitz Operations

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RUTGERS BUSINESS SCHOOL Undergraduate Program – New Brunswick Midterm Examination Dr. M. Markowitz 33:623:386:B6 Operations Management June 18, 2007 Last Name______________________________First Name _____________________ This examination has 5 questions on 11 pages including this cover page. Place your answers in the spaces provided. You will have three hours to complete this examination. Although I believe you are well aware of policies on academic dishonesty, the information is provided to you here: It is expected that each student's work will be the exclusive result of his/her own efforts. Any unauthorized requests, receipt, offer or provision of class related or test related information during the administration of any quiz or examination will be considered cheating. If you importune (i.e. persistently urge another for an answer) or intentionally aid cheating, you will be subject to disciplinary action. University procedures on academic integrity will be strictly followed for students suspected of cheating. If you suspect anyone of copying from your paper during an examination, you should request seating change since academic integrity customarily involves both the receiver and provider of information. Provide the necessary calculations where required. If calculations are not provided where needed, no credit will be given for the answer. If your answers are not CLEARLY indicated, they will not be considered correct. There is to be ABSOLUTELY NO COMMUNICATION BETWEEN OR AMONG STUDENTS DURING THE ADMINISTRATION OF THIS EXAMINATION. Any questions should be directed to the instructor. I acknowledge reading the above, I understand there is no acceptable reason for cheating, I promise not to cheat, and understand that if I cheat on this examination, I will face disciplinary actions. Signature
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Graphing Problem 1. (15 Points) Solve the following LP problem (on the next page) graphically using level curves. Place your graph on the graph paper provided. On your graph, CLEARLY (defined as me being able to actually see, read and understand what you have done) indicate the feasible region and answer the following: a. What are the coordinates of the Optimal Point? Answer: (0, 10) b. What is the value of the objective function at the optimal point? Answer: 2000 0 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 0 1 2 3 4 5 6 7 8 9 1 0 X 2 : 1 . 0 X 1 + 1 . 0 X 2 = 5 . 0 : 2 0 . 0 X 1 + 1 0 . 0 X 2 = 1 6 0 . 0 : 3 0 . 0 X 1 + 1 0 . 0 X 2 = 1 2 0 . 0 : 1 0 . 0 X 1 + 1 5 . 0 X 2 = 1 5 0 . 0 P a y o f f : 5 0 . 0 X 1 + 2 0 0 . 0 X 2 = 2 0 0 0 . 0 O p t i m a l D e c i s i o n s ( X 1 , X 2 ) : ( 0 . 0 , 1 0 . 0 ) : 1 . 0 X 1 + 1 . 0 X 2 > = 5 . 0 : 2 0 . 0 X 1 + 1 0 . 0 X 2 < = 1 6 0 . 0 : 3 0 . 0 X 1 + 1 0 . 0 X 2 < = 1 2 0 . 0 : 1 0 . 0 X 1 + 1 5 . 0 X 2 < = 1 5 0 . 0
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Max: 50 X 1 + 200 X 2 Subject to: 1 X 1 + 1 X 2 >= 5 20 X 1 + 10 X 2 <= 160 30 X 1 + 10 X 2 <= 120 10 X 1 + 15 X 2 <= 150 X 1 , X 2 >= 0 2007 Summer Operations Management Midterm 3
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2. A farmer/rancher operates an 800 acre irrigated farm/ranch in a river valley in Arizona. The principal activities are raising wheat, alfalfa, and beef. The valley
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This note was uploaded on 04/04/2008 for the course MSIS 386 taught by Professor Markowitz during the Summer '06 term at Rutgers.

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2007 midterm answers - RUTGERS BUSINESS SCHOOL Undergraduate Program New Brunswick Midterm Examination 33:623:386:B6 Dr M Markowitz Operations

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