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DSC 335 HW 1 - solution

DSC 335 HW 1 - solution - DSC 335 Operations Management...

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1 DSC 335 Operations Management Solution to Homework Assignment #1 Problem 1 1) The estimate of capacity requirement (# lathes required to meet demand for both A and B) Where D A =4000, p A =2.5, Q A =80 and s A =18; D B =12000, p B =2, Q B =150 and s B =24; C=25. M=12.27. We need 13 machines. Problem 2 2) Q B in the above equation is unknown. We let M=12 and solve for Q B , with all other parameters unchanged. Q B = 261.82. Rounded up Q B =262. 3) The cushion level, C, in the above equation is unknown. We let M=12 and solve for C, with all other parameters unchanged. s B =23.3%. Problem 3 4) The packing step is the bottleneck of the process. The capacity rate of the process is 60 orders/hour. This is the maximum output rate of the process. Note: the total output (# orders) processed over a day is more than (60)(12) = 720, because the packing may work over time. 5) For a busy day, there are totally (100)(12) = 1200 orders taken. It takes 1200/80 = 15 hours to pick all those orders. It takes 1200/60 = 20 hours to pack these orders.

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