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Seneca College *

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2510

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Industrial Engineering

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Dec 6, 2023

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3

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QUESTION 1. Hilton Yacht manufactures a line of family cruiser/racing sailboats. The boats are well known for their quality, safety, and performance. Hilton hired Matthew Perry, a well-known sailboat designer and racer, to design a new sailboat, the M33. The M33 will have advanced materials in the hull and rigging to enhance the safety and performance of the boat and also to improve its overnight comfort. Safety and comfort are the two most important boat-buying criteria of Hilton’s customers, rated at 34% and 33% respectively, on a 100-point scale. The other two criteria are performance (20%) and styling (13%). The overall length of the boat is about 33 feet; its two sleeping areas have room for five or six people. Hilton projects a sales price of approximately $200,000 and estimates the costs of manufacturing the M33 as shown in Table 1. A team of engineers and sales managers studied the projected cost and identified how each component of the planned boat contributed to satisfying customers’ criteria. The results of this study, based on careful estimates, are shown in Table 2. For example, the estimates show that 30% of customers’ desire for safety is satisfied by the construction of the hull and keel, and another 30% by the standing rig, and so on. Required 1) Using the information in Table 2 developed by the team of engineers and sales managers, together with the customer criteria, compute: a) The importance index for each component of the sailboat b) The cost index of each component c) The value index of each component QUESTION 2 Chemical Products Company (CPC) produces a variety of chemicals— primarily adhesives, lubricants, and polymers—for industrial use by manufacturers to produce plastics and other compounds. Don Leo, the production vice president, has been informed of a disturbing trend of increasing customer complaints regarding late deliveries from the Canton, Kentucky, plant. The Canton plant is one of the firm’s newest and most modern plants and is dedicated to the manufacture of two products, Polymer 1 and Polymer 2. Don has downloaded some incomplete recent information about the Canton plant onto his laptop; he plans to analyze the information in the hour or so he has before his next meeting of the CPC executive committee. He is concerned that some comments will be made about the problems at Canton, and he wants to have an idea of how to respond. Because CPC
views Polymer 1 and Polymer 2 as very promising in terms of both sales and profit potential, the news of these problems is likely to spark some comment. The data downloaded by Don are as follows No. of Hours Req. for Each Product No. of Hours Activity Polymer 1 Polymer 2 Available per Week Filtering 2 4 320 Stripping 2 3 320 Reacting 3 5 320 Final filtering 2 1 160 Mixing 3 3 320 Other information: Current sales demand 60 40 Selling price per unit $145 $185 Don has sketched the following flow diagram for the Canton plant. He believes it is relatively accurate because of his frequent contact with the plant.
Required 1. Which of the activities is the constraint? 2. Using the constraint identified in requirement 1, calculate the throughput margin per hour for each product. QUESTION 3. VIP-MD is a health maintenance organization (HMO) located in North Carolina. Unlike the traditional fee-for-service model that determines the payment according to the actual services used or costs incurred, VIP-MD receives a fixed, prepaid amount from subscribers. The per member, per month rate (PMPM) is determined by estimating the health care cost per enrollee within a geographic location. The average health care coverage in North Carolina costs $368 per month, which is the same amount irrespective of the subscriber’s age. Because individuals are demanding quality care at reasonable rates, VIP-MD must contain its costs to remain competitive. A major competitor, National Physicians, entered the North Carolina market early in the current year with a monthly premium of $325. VIP-MD wants to maintain its current market penetration and hopes to increase the number of its enrollees in the current year. The latest data on the number of enrollees and the associated costs follow: Enrollment in current year Projected Enrollment next year Average Monthly Cost in current year Age 1 to 4 45,688 48,977 $ 11,147,872 5 to 14 82,456 84,663 10,059,632 15 to 19 95,873 95,887 8,436,824 20 to 24 66,246 67,882 9,539,424 25 to 34 133,496 132,554 26,432,208 35 to 44 166,876 175,446 38,882,108 45 to 54 85,496 90,889 22,741,936 55 to 64 99,624 101,923 28,691,712 65 to 74 156,288 161,559 49,518,144 75 to 84 67,895 72,465 33,432,760 85 years and older 23,499 26,849 24,286,475 TOTAL 1,023,437 1,059,094 $263,169,095 Required 1. Calculate the target cost required for VIP-MD to maintain its current market share and profit per enrollee in the current year. 2. Costs in the health care industry applicable to VIP-MD and National Physicians are expected to increase by 7% in the coming year. VIP-MD is planning for the year ahead and is expecting all providers, including VIP-MD and National Physicians, to increase their rates by $25 to $350. Calculate the new target cost assuming again that VIP-MD wants to maintain the same profit per enrollee as in the current year.
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