Suppose an organisation is manufacturing two products P¡and P2. The profit per tonne of the two products are Rs. 50 and Rs. 60 respectively. Both the products require processing in three types of machine. The following Table indicates the available machine hours per week and the time required on each machine for one tonne of Pj and P2. Formulate this product mix problem in the linear programming form. Table Showing the available machine capacities and machine hour requirement of the two products Product 1 Profit/tonne Product 2 Total available Rs. 50 Rs. 60 Machine hours/weeks Machine 1 2 300 Machine 2 34 509 Machine 3 812

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Linear Programming formulation

Suppose an organisation is manufacturing two products Pjand P2. The profit per tonne
of the two products are Rs. 50 and Rs. 60 respectively. Both the products require
processing in three types of machine. The following Table indicates the available
machine hours per week and the time required on each machine for one tonne of P1 and
P2. Formulate this product mix problem in the linear programming
form.
Table Showing the available machine capacities
and machine hour requirement of the two products
Product 2
Profit/tonne
Product 1
Total available
Rs. 50
Rs. 60
Machine hours/weeks
Machine 1
300
Machine 2
34
509
Machine 3
4
812
Transcribed Image Text:Suppose an organisation is manufacturing two products Pjand P2. The profit per tonne of the two products are Rs. 50 and Rs. 60 respectively. Both the products require processing in three types of machine. The following Table indicates the available machine hours per week and the time required on each machine for one tonne of P1 and P2. Formulate this product mix problem in the linear programming form. Table Showing the available machine capacities and machine hour requirement of the two products Product 2 Profit/tonne Product 1 Total available Rs. 50 Rs. 60 Machine hours/weeks Machine 1 300 Machine 2 34 509 Machine 3 4 812
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