Problema Solution
The Northern Wisconsin Paper Mill can convert wood pulp to either notebook paper or newsprint.
The mill can produce at most 200 units of paper a day. At least 10 units of notebook paper and 80 units
of newspaper are required daily by regular customers. If the profit on a unit of notebook paper is $500
and the profit on a unit of newsprint is $350, how many units of paper should the manager have the mill
produce each day to maximize profits?
Answer provided by our tutors
Let
x = units notebook paper
y = units newspaper paper
We have the following constrains:
x >= 10
y >= 80
x + y <= 200
The objective function is:
F(x , y) = 500x + 350y
We need to find graph the bellow inequalities and find the corner points:
x >= 10
y >= 80
x + y <= 200
The corner points are (10, 80), (120, 80) and (10, 190).
F(10, 80) = 500*10 + 350*80 = $33,000
F(120, 10) = 500*120 + 350*10 = $63,500
F(10, 190) = 500*10 + 350*190 = $71,500
To maximize the profit the mill should produce 10 units notebook paper and 190 units newspaper paper.