A university computer center is open from 8 AM until midnight. The numbers of computer consultants required are given in the table. Time of Day Minimum Number of Consultants Required 8 AM -noon 4 Noon – 4 PM 10 4 PM – 8 PM 8 8 PM - Midnight 6 The computer consultants work for eight consecutive hours in either one of the following three shifts: morning (8 AM – 4 PM), afternoon (noon – 8 PM), and evening (4 PM – Midnight), with daily payments of $120, $160 and $190, respectively. The goal is to find the staff scheduling plan with the minimum payroll cost. Formulate this problem as a linear programming model.
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A university computer center is open from 8 AM until midnight. The numbers of computer consultants required are given in the table.
Time of Day |
Minimum Number of Consultants Required |
8 AM -noon |
4 |
Noon – 4 PM |
10 |
4 PM – 8 PM |
8 |
8 PM - Midnight |
6 |
The computer consultants work for eight consecutive hours in either one of the following three shifts: morning (8 AM – 4 PM), afternoon (noon – 8 PM), and evening (4 PM – Midnight), with daily payments of $120, $160 and $190, respectively. The goal is to find the staff
Formulate this problem as a linear programming model.
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- BE Spreadsheet Mike Reynolds has four assignments due in class tomorrow, and his class times are as follows: Time 9 a.m. 12 p.m. 2 p.m. 5:30 p.m. Each class lasts one hour, and Mike has no other classes. It is now midnight, and Mike estimates that the marketing, finance, psychology, and OM assignments will take him one, four, five, and seven hours, respectively. Assume that all time till the last class begins can be spent on completing assignments but each assignment should be done till the time of the class on the same subject. (Mike can prepare assignments for the next classes during previous classes.) Use the Excel Sequencing template to determine how he should schedule the work. Use minus sign to enter negative lateness values, if any. Enter the half an hour value as 0.5, e.g., 3:30 p.m. should be entered as 15.5. If your answer is zero, enter "0". Round your answers for the due date, lateness, and tardiness to one decimal place. Round your answers for the average values to two…A manufacturing plant produces a product 'A' that requires one unit of 'B' and ½ unit of 'C'. Each unit of 'B' is comprised of one unit of 'D', two units of 'E', and one unit of 'F'. Each unit of 'C' requires ½ unit of 'G' and three units of 'H'. The manufacturing lead times for the components are as follows: 'A' - two weeks, 'B' - one week, 'C' - two weeks, 'D' - two weeks, 'E' - three weeks, 'F' - one week, 'G' - two weeks, 'H' - one week. There are 20 units in stock for each of these components. 100 units of 'A' are needed for delivery in seven weeks: a) Develop the product structure and indexed bill of materials for the product. b) Create a gross and net requirements plan for the manufacturer of the product.The ABC Company is planning a new product line and a new plant to produce the parts for the line. The product line will include 8 different models. Annual production of each model is expected to be 900 units. Each product will be assembled of 180 components. All processing of parts will be accomplished in the new plant. On average, 6 processing operations are required to produce each component, and each operation takes an average of 1 min (including an allowance for setup time and part handling). All processing opera-tions are performed at workstations, each of which includes a production machine and a human worker. The plant operates one shift. Determine the number of (a) components, (b) processing operations, and (c) workers that will be needed to accomplish the processing operations if each worker works 2,000 hr/yr.