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. ProductProcessing time (mins) in operationCost/unitPrice/unit (K)(K) 123 A4311016 B214812 C345510 Utilisation80%70%90% i.Formulate a linear programming model for this problem. ii.Determine the optimal product mix using the simplex method. Give the interpretations for the values obtained in the final simplex table

Objective Functions and Constraints: Based on the given details, the objective…

Answered: A factory works 8 hours a day,…

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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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
						(K)	(K)
			1	2	3

		A	4	3	1	10	16
		B	2	1	4	8	12
		C	3	4	5	5	10

	Utilisation	80%	70%	90%

i.	Formulate a linear programming model for this problem.
ii.	Determine the optimal product mix using the simplex method.