Midterm1 solution

# Midterm1 solution - Section A Multiple Choice[4 points each...

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1 Section A: Multiple Choice [4 points each] 1. Comparing make-to-order and make-to-stock systems, which of the following statements is false? a) Make-to-order systems are more responsive to customer needs. b) Make-to-order systems have less inventory spoilage. c) Make-to-stock systems can fulfill customer demand in a shorter waiting time. d) Make-to-stock systems can have a higher annual utilization rate for sea- sonal items. e) None of the above. 2. Which of the following will not reduce a patient’s waiting time in a clinic. a) Use appointments b) Hire more full-time doctors/nurses c) Hire more part-time doctors/nurses during the rush hours d) Build excess inventory on medical supplies e) None of the above 3. A company has five machines and two products. Product X will be processed on Machine A, and then D, then E. Product Y will be processed on Machine B, then C, then D, then E. The demand for each product is 50 units per week. The capaci- ties (in units/week) of the machines are marked in the graph on the right. Which machine is the bottleneck? a) A b) B c) C d) D e) E 4. Which of the following is not one of the advantages of flexible manufacturing? a) Higher utilization rate b) Higher responsiveness in changing demand c) Lower training cost d) Equipment last longer e) None of the above B: 80 A: 60 D: 90 C: 70 E: 100

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2 5. Given the feasible region as the shaded area in the following graph and the objec- tive function maximizing (x – y), which of the following statements is true? a) x = -1 and y = 4 is a feasible solution. b) x – 3y >= 0 is one of the constraints. c) x + y >= 8 is one of the constraints. d) The optimal solution is unbounded. e) The optimal solution is not unique. 6. Consider the following linear program: Maximize 2x + 4y Subject to: 4x + 6y <= 120 2x + 6y <= 72 y <= 10 x >=0, y>= 0. The optimum solution is x = 24 and y = 4. The sensitivity report created by solver follows. Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease x 24 0 2 0.666666667 0.666666667 y 4 0 4 2 1 Final Shadow Constraint Allowable Allowable Name Value Price R.H. Side Increase
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Midterm1 solution - Section A Multiple Choice[4 points each...

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