Example 8. A company has two plants, A & B, each designed for manufacturing 10 biscuit packet and 15 biscuit packet of biscuits. The details of production is given below Machine 10 biscuit packet 15 biscuit packet 50 per minute 30 per minute 35 per minute 55 per minute A Each machine can be run 8-hours per day, 5 days per week. Profit on small packet is 50 paise and on big packet is 75 paise. Weekly production of the biscuit cannot exceed 100000 and the market can absorb 30000 small packets biscuits and 10000 big packet biscuits per week. Formulate this as a Linear programming problem with a view to maximise profit.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 26E: Production problems A company manufactures one type of computer chip that runs at 2.0 GHz and...
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Example 8. A company has two plants, A & B, each designed for manufacturing
10 biscuit packet and 15 biscuit packet of biscuits. The details of production is given
below
Machine
10 biscuit packet
15 biscuit packet
50 per minute
30 per minute
35 per minute
55 per minute
A
В
Each machine can be run 8-hours per day, 5 days per week. Profit on small packet is
50 paise and on big packet is 75 paise. Weekly production of the biscuit cannot exceed
100000 and the market can absorb 30000 small packets biscuits and 10000 big packet
biscuits per week. Formulate this as a Linear programming problem with a view to
naximise profit.
Cs Scanned with CamScanner
Transcribed Image Text:Example 8. A company has two plants, A & B, each designed for manufacturing 10 biscuit packet and 15 biscuit packet of biscuits. The details of production is given below Machine 10 biscuit packet 15 biscuit packet 50 per minute 30 per minute 35 per minute 55 per minute A В Each machine can be run 8-hours per day, 5 days per week. Profit on small packet is 50 paise and on big packet is 75 paise. Weekly production of the biscuit cannot exceed 100000 and the market can absorb 30000 small packets biscuits and 10000 big packet biscuits per week. Formulate this as a Linear programming problem with a view to naximise profit. Cs Scanned with CamScanner
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