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+1 vote
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in Linear Programming by (58.3k points)

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to, produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts .He earns a profit of ? 17.50 per package on nuts and ? 7.00 per package on bolts. How many packages of each should be produced each day his machines for at the most 12 hours a day?

1 Answer

+2 votes
by (53.1k points)
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Best answer

(i) x + 3y ≤ 12 

(ii) 3x + y ≤ 12 

(iii) x ≥ 0,y ≥ 0

ABCD is the solution region A(0, 0) P = 0

A (0, 0) p = 0 

B (4, 0) P = 70 Rs . 

C (3, 3) P = 73.5 Rs 

D (0, 4) P = 28 Rs. 

At (3, 3) he can maximise his profit. By producing 3 packages of nuts and bolts each.

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