
298 Introduction to Computational Modeling
The objective function of the linear optimization formulation of the given prob-
lem is:
Maximize: P = 229.5x
1
+ 137.25x
2
+ 225.00x
3
subject to the following constraints:
135x
1
+45x
2
+100x
3
≤ 3895
95x
1
+205x
2
+115x
3
≤ 16850.00
x
1
+x
2
+x
3
≤ 140
x
1
≥ 0
x
2
≥ 0
x
3
≥ 0
Summary
Linear optimization modeling consists of formulating a mathematical linear
model that includes: the linear function to be optimized (maximized or minimized),
a set of decision variables, and a set of constraints. The computational models of this
type are also known as Linear Programming Models.
Key Terms
linear optimization decision variables constraints
linear programming ...