Suppose you are selling cases of mixed nuts
and roasted peanuts. You can order no more
than a total of 500 cans and packages and
spend no more than $600. How can you
maximize your profit? How much is the
maximum profit?
Mixed Nuts
Number of cases
Number of Units
Cost
Profit
Roasted
Peanuts
Total
Mixed Nuts
Roasted
Peanuts
Total
Number of cases
x
y
x+y
Number of Units
12x
20y
500
Cost
24x
15y
600
Profit
18x
15y
18x + 15y
CONSTRAINTS
OBJECTIVE FUNCTION
CONSTRAINTS
Vertices:
(0, 0), (0, 25), (25, 0), (15, 16)
Test each corner point (vertex) to determine
whether the combination results in the
maximum value for the objective function.
(0, 0)
(0, 25)
(25, 0)
(15, 16)
=0
=375
=450
=270+240=510
Profit is maximized when you sell 15 cases
of mixed nuts and 16 cases of peanuts.