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.

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 profit by producing_________ units of writing paper and__________ units of newsprint each day. The maximum daily profit is $_________ .