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A factory makes two types of items A and B, made of plywood. One piece of item A requires 5 minutes for cutting and 10 minutes for assembling. One piece of item B requires 8 minutes for cutting and 8 minutes for assembling. There are 3 hours and 20 minutes available for cutting and 4 hours for  assembling. The profit on one piece of item A is  5 and that on item B is 6. How many pieces of each type should the factory make so as to maximize profit ? Make it as an LPP and solve it graphically.

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Let the factory makes ;r pieces of item,4 and y pieces of item B.

From figure, possible points for maximum value of

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