A company manufactures a mechanical device which consists of four parts, each of which can be produced in three different departments. Table 3 shows the production rates (per hour) for the four parts in each of the four departments. The departments (1,2,3) have limited capacities of 240, 320, and 170 hours, respectively. Department 1 2 3 Part 1 8 13 21 TABLE 3 Production rate (no. / hour) Part 2 12 11 9 Part 3 7 8 12 Part 4 5 14 15 The company wants to determine the number of hours of each department which should be assigned to each part in order to maximize the number of complete mechanical devices. Formulate the problem as a linear programming model.
A company manufactures a mechanical device which consists of four parts, each of which can be produced in three different departments. Table 3 shows the production rates (per hour) for the four parts in each of the four departments. The departments (1,2,3) have limited capacities of 240, 320, and 170 hours, respectively. Department 1 2 3 Part 1 8 13 21 TABLE 3 Production rate (no. / hour) Part 2 12 11 9 Part 3 7 8 12 Part 4 5 14 15 The company wants to determine the number of hours of each department which should be assigned to each part in order to maximize the number of complete mechanical devices. Formulate the problem as a linear programming model.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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