A paper manufacturing company converts wood pulp towriting paper and newsprint. The

Chapter 5, Problem 60

(choose chapter or problem)

A paper manufacturing company converts wood pulp towriting paper and newsprint. The profit on a unit of writingpaper is $500 and the profit on a unit of newsprint is $350.a. Let x represent the number of units of writing paperproduced daily. Let y represent the number of units ofnewsprint produced daily. Write the objective functionthat models total daily profit.b. The manufacturer is bound by the following constraints: Equipment in the factory allows for making at most200 units of paper (writing paper and newsprint) inaday. Regular customers require at least 10 units of writingpaper and at least 80 units of newsprint daily.Write a system of inequalities that models theseconstraints.c. Graph the inequalities in part (b). Use only the firstquadrant, because x and y must both be positive.(Suggestion: Let each unit along the x@ and y@axesrepresent 20.)d. Evaluate the objective function at each of the threevertices of the graphed region.e. Complete the missing portions of this statement: Thecompany will make the greatest profit by producing units of writing paper and units ofnewsprint each day. The maximum daily profit is $