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A small firm manufactures necklaces and ...

A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes 1 hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is Rs 100 and that on a bracelet is Rs 300, how many of each should be produced daily to maximize the profit?

Text Solution

Verified by Experts

Bracelets=x
Necklaces=y
`x+y<24-(1)`
`x+y/2<1-(2)`
`x,y>0-(3)`
Z=300x+100y
Point Profit
(0,24) 2400Rs
...
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