HW-03-05-10s-Chs8_10

# HW-03-05-10s-Chs8_10 - IE 131 Solutions for Problems due...

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IE 131 Solutions for Problems due Mar 5 (Chs 8 and 10) 8.1 A factory has 10 departments, all of which have quality problems leading to delays in shipping products to customers. A breakdown of the number of quality problems for each department (listed alphabetically) is as follows: (1) assembly, 16; (2) final packaging, 9; (3) finishing, 37; (4) forging, 73; (5) foundry, 362; (6) machine shop, 294; (7) plastic molding, 120; (8) receiving inspection, 124; (9) sheet metalworking, 86; and (10) tool-making, 42. (a) Construct a Pareto chart for this data. (b) Assuming that all quality problems are of equal value, in which department would you start to take corrective action to reduce the quality problems? (c) Determine the percentage of total quality problems that are attributable to the two departments (20% of the departments) with the most quality problems. Solution : (a) Pareto chart. 36 2 29 4 300 200 12 4 120 86 100 73 42 37 16 9 Dept 5 6 8 7 9 4 10 3 1 2 (b) Begin taking corrective action in Dept 5. (c) Departments 5 and 6 account for 362 + 294 = 656 of the total quality problems. With the total number of quality problems in all departments summing to 1163, departments 5 and 6 account for 56.4% of the total number of quality problems. 8.5 The marketing research department for the Stitch Clothing Company has determined that 22% of the items stocked account for 70% of the dollar sales. A typical outlet store carries 1000 items. The items accounting for the top 60% of sales are replenished from the company’s distribution center. The rest are shipped directly from the supplier (manufacturer) to the stores. How many items are represented by the top 60%? Solution : (a) A = x (1- y )/( y - x ) = 0.22(1-0.70)/(0.70-0.22) = 0.1375 For y = 60% = 0.60, x = yA /(1 + A y ) x = 0. 60 (0. 1375)/(1 + 0. 1375– 0. 60) = 0.1535 = 15.35% Out of 1000 items, this represents about 154 of the items. 10.4 Sitting at her desk, the writer reached for the mechanical pencil, picked it up, positioned it, and then began to write on the pad of paper. After finishing one sentence, she lifted the pencil,

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and read the sentence. She then put the pencil aside and reached for the rectangular eraser nearby. Grasping and positioning it, she erased one of the words in the sentence. Write a list of the therbligs that comprise this motion sequence and label each basic motion with a brief description.
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