. Maximize 10x + 5y
s.t.
5x + 2y 40
x 0, y 0
b. Controllable inputs: x and y
Uncontrollable inputs: profit (10,5), labor hours (5,2) and labor-hour availability (40)
Introduction
1-3
c.
Profit:
Labor Hours: 5/unit for x
2/ unit for y
$10/unit for x
$ 5/ unit for y
40 labor-hour capacity
Uncontrollable Inputs
Production Quantities
x and y
Controllable
Input
Projected Profit and
check on production
time constraint
Output
Max 10 x + 5 y
s.t.
10 x + 5 y 40
x
y
0
0

Mathematical
Model
d. x = 0, y = 20 Profit = $100
(Solution by trial-and-error)
e. Deterministic - all uncontrollable inputs are fixed and known.