QUESTION ONE (a) A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation 2 Cost/unit Price/unit 3 (K) (K) A. 4 3 10 16 B 4 8. 12 3. 4 5 10 Utilisation 80% 70% 90% i. Formulate a linear programming model for this problem. Determine the optimal product mix using the simplex method. Give the interpretations for the values obtained in the final simplex table. ii. iii.
QUESTION ONE (a) A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation 2 Cost/unit Price/unit 3 (K) (K) A. 4 3 10 16 B 4 8. 12 3. 4 5 10 Utilisation 80% 70% 90% i. Formulate a linear programming model for this problem. Determine the optimal product mix using the simplex method. Give the interpretations for the values obtained in the final simplex table. ii. iii.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Transcribed Image Text:QUESTION ONE
(a) A factory works 8 hours a day, producing three products namely A, B and C. each of these
products is processed in three different operations namely 1, 2 and 3. The processing times
in minutes for each of these products in each of the operations are given below along with
utilization of the processes and the cost and price in kwachas for each of these three
products which have unlimited demand.
Product
Processing time (mins) in operation
2
|Cost/unit
Price/unit
3
(К)
|(K)
A
4
3
10
16
в
2
4
12
3
4
5
5
10
Utilisation
80%
70%
90%
i.
Formulate a linear programming model for this problem.
Determine the optimal product mix using the simplex method.
Give the interpretations for the values obtained in the final simplex table.
ii.
111.
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