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A company manufactures two proudcts. A a...

A company manufactures two proudcts. A and B on which the profits erarned per unit areRs. 30 and Rs. 40 respectively. Each product is procced on two machines `M_(1) and M_(2)`. One unit of product A requires on hour of processing time on `M_(1) and 2` hours on `M_(2)` While one unit of product B requires one hour each on `M_(1) and M_(2)`. Machines `M_(1) and M_(2)` are availabe atmost 10 hours and 12 hours respectivrely during working day. The company wants to know how many units of proudcts A and B should be produced to maximise the profit.
to formulate a linearprogramming problem
(i) Write the objective function.
(ii) Write all contraints.

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