A manufacturing plant owned by RVR Holdings produces two kinds of products A and B on facilities, 1, 2, 3, 4, 5, and 6 having capacity for operation as shown below Facilities. Production capacity to produce 1. 100 of A OR 150 of B 2. 80 of A OR 80 of B 3. 100 of A OR 200 of Y 4. 120 of A OR 90 of B 5. 60 of A only (Testing facility for product A) 6. 60 of B only.(Testing facility for product B)  If the profit contribution of product A is P40 per unit and that of B is P30 per unit, find the optimal product mix for maximising the profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manufacturing plant owned by RVR Holdings produces two kinds of products A and B on facilities, 1, 2, 3, 4, 5, and 6 having capacity for operation as shown below Facilities. Production capacity to produce

1. 100 of A OR 150 of B

2. 80 of A OR 80 of B

3. 100 of A OR 200 of Y

4. 120 of A OR 90 of B

5. 60 of A only (Testing facility for product A)

6. 60 of B only.(Testing facility for product B)

 If the profit contribution of product A is P40 per unit and that of B is P30 per unit, find the optimal product mix for maximising the profit.

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