The world’s Largest Sharp Brain Virtual Experts Marketplace Just a click Away
Levels Tought:
University
| Teaching Since: | Apr 2017 |
| Last Sign in: | 438 Weeks Ago, 6 Days Ago |
| Questions Answered: | 9562 |
| Tutorials Posted: | 9559 |
bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
A paper manufacturing company converts wood pulp to writing paper and newsprint. The profit on a unit of writing paper is $300 and the profit on a unit of newsprint is $190.
A. Let x represents 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 180 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.
• The number of units of newsprint produced daily should be at least twice the number of units of writing paper produced daily.
Write a system of inequalities that models these constraints.
C. Graph the inequalities in part (B). Use only the first quadrant and its boundary, because x and y must both be nonnegative. (In your graph, let each unit along the x- and y-axes represent 10).
D. Evaluate the objective profit 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.................of newsprint each day. The maximum daily profit is $..................
Â
Â
-----------