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. Solve, 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 writingpaper and at least 80 units of newsprint daily. Write a system of inequalities that models these constraints. c. Graph the inequalitiers in part (b) Use only the first 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 profit by producing units _________of writing paper and ________units of newsprint each day. The maximum daily profit is $ ____________

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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. Solve,

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 inequalitiers in part (b) Use only the first 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 profit by producing units _________of writing paper and ________units of newsprint each day. The maximum daily profit is $ ____________

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