A factory works 8 hours a d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Cost/unit
Price/unit
1
3
(K)
(K)
1
10
16
2
1
4
10
Utilisation
80%
70%
90%
Formulate a linear programming model for this problem
Detemine the optimal product mix using the simplex method.
iii. Give the interpretations for the values obtained in the final simplex table
529
ABC
Transcribed Image Text: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 Cost/unit Price/unit 1 3 (K) (K) 1 10 16 2 1 4 10 Utilisation 80% 70% 90% Formulate a linear programming model for this problem Detemine the optimal product mix using the simplex method. iii. Give the interpretations for the values obtained in the final simplex table 529 ABC
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