SOLUTION: A furniture manufacturer can make from 30 to 60 tables a day and from 40 to 100 chairs a day. It can make at most 120 units in one day. The profit on a table is $150, and the prof

Question 346507: A furniture manufacturer can make from 30 to 60 tables a day and from 40 to 100 chairs a day. It can make at most 120 units in one day. The profit on a table is $150, and the profit on a chair is $65. How many tables and chairs should they make per day to maximize profit. How much is the maximum profit?
P= 150x + 65 y
30 <= x <= 60
40 <= y <= 100
x + y <= 120
x => 0
y => 0
Graph your system of inequalities
Label the vertices and find their coordinates
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Determine the vertices.
,
(30,40)
,
(60,40)

(30,90)

(60,60)
.
.

.
.
The maximum (and minimum) values occur(s) at the vertices.
(30,40):
(60,40):
(30,90):
(60,60):
Make 60 of each to maximize profits.

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