A paper manufacturing company converts wood pulp to writing paper and newsprint. The

Chapter 0, Problem 54

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A paper manufacturing company converts wood pulp to writing paper and newsprint. The profit on a unit of writing paper is $500 and the profit on a unit of newsprint is $350. a. Let x represent the number of units of writing paper produced daily. Let y represent the number of units of newsprint produced daily. Write the objective function that models total daily profit. b. The manufacturer is bound by the following constraints: Equipment in the factory allows for making at most 200 units of paper (writing paper and newsprint) in a day. Regular customers require at least 10 units of writing paper and at least 80 units of newsprint daily. Write a system of inequalities that models these constraints. c. Graph the inequalities in part (b). Use only the first quadrant, because x and y must both be positive.