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  3. a company manufactures x units of product a and y

A company manufactures x units of Product A and y units of Product B, on two...

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Basic Math

A company manufactures x units of Product Aand y units of Product B, on two machines, I andII. It has been determined that the company will realize a profitof $3/unit of Product A and a profit of $6/unit of ProductB. To manufacture a unit of Product A requires 6min on Machine I and 5 min on Machine II. To manufacture a unit ofProduct B requires 9 min on Machine I and 4 min on MachineII. There are 5 hr of machine time available on Machine I and 3 hrof machine time available on Machine II in each work shift. Howmany units of each product should be produced in each shift tomaximize the company's profit?

a). (x,y) =

b). What is the optimal profit? (Round your answer to the nearestwhole number.)

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