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The solutions manual for Management Science

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a43-APXD-1µ™ 12/6/2006 1:39 PM Page 1 Solutions Menu Chapter 1 1. Management science and operations research, terms used almost interchangeably, are broad disciplines that employ scientific methodology in managerial decision making or problem solving. Drawing upon a variety of disciplines (behavioral, mathematical, etc.), management science and operations research combine quantitative and qualitative considerations in order to establish policies and decisions that are in the best interest of the organization. 2. Define the problem; identify the alternatives; determine the criteria; evaluate the alternatives; choose an alternative 3. See section 1.2. 4. A quantitative approach should be considered because the problem is large, complex, important, new and repetitive. 5. Models usually have time, cost, and risk advantages over experimenting with actual situations. 6. Quicker to formulate, easier to solve, and/or more easily understood 7. Let d  distance between your city and Guu-Keng, YunLin m  kilometers per kilolitre c  cost per kilolitre C  total cost 2d C m c We must be willing to treat m and c as known and not subject to variation. ( ) FIGURE 1.8c SOLUTION 8. a. Max s.t. 10x  5y 5x  2y  40 x  0, y  0 b. Controllable inputs: x and y Uncontrollable inputs: profit (10,5), labor-hours (5,2), and labor-hour availability (40) c. See Figure 1.8c d. x  0, y  20; Profit  $100 (Solution by trial and error) e. Deterministic 9. If a  3, x  13 1/3 and profit ...
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