Formulate but do not solve the following exercise as a linear programm (1).docx

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Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 9 min on machine I and 3 min on machine II. There are 154 min available on machine I and 66 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize the company\'s profit P? P =______ subject to the constraints machine I ______ machine II _______ x = 0 ________ y = 0 _________ Solution maximize 2x+4y constraints from A company 7x+9y<=154 from B company 3x+3y<=66 .

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