A paper manufacturing company converts wood pulp to

Chapter 7, Problem 60

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A paper manufacturing company converts wood pulp to writing paper and newsprint. The profi t on a unit of writing paper is $500 and the profi t 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 profi t. 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 fi rst quadrant, because x and y must both be positive. ( Suggestion: Let each unit along the x@ and y@axes represent 20.) d. Evaluate the objective function at each of the three vertices of the graphed region. e. Complete the missing portions of this statement: The company will make the greatest profi t by producing units of writing paper and units of newsprint each day. The maximum daily profi t is $ .