Question.1. A manufacturing manufactures two items X1 and X2 which are handled in a machine shop and assembly shop. Item X1 requires 2 hours of work in a machine shop and 4 hours of work in the assembly shop to manufacture while product X2 requires 3 hours of work in the machine shop and 2 hours of work in the assembly shop. In one day, the industry cannot use more than 16 hours of machine shop and 22 hours of assembly shop. It earns a profit of rupees 3 per unit of product X1 and rupees. 4 per unit of product X2. Give a mathematical formulation of the problem as to maximise profit.
Question.1. A manufacturing manufactures two items X1 and X2 which are handled in a machine shop and assembly shop. Item X1 requires 2 hours of work in a machine shop and 4 hours of work in the assembly shop to manufacture while product X2 requires 3 hours of work in the machine shop and 2 hours of work in the assembly shop. In one day, the industry cannot use more than 16 hours of machine shop and 22 hours of assembly shop. It earns a profit of rupees 3 per unit of product X1 and rupees. 4 per unit of product X2. Give a mathematical formulation of the problem as to maximise profit.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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Question.1. A manufacturing manufactures two items X1 and X2 which are handled in a machine shop and assembly shop. Item X1 requires 2 hours of work in a machine shop and 4 hours of work in the assembly shop to manufacture while product X2 requires 3 hours of work in the machine shop and 2 hours of work in the assembly shop. In one day, the industry cannot use more than 16 hours of machine shop and 22 hours of assembly shop. It earns a profit of rupees 3 per unit of product X1 and rupees. 4 per unit of product X2. Give a mathematical formulation of the problem as to maximise profit.
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