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 $ ____________
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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