Study Subject: Introduction to Operations Research.

Topic: Unconstrained optimization.

Task: Write an OPL program and solve the program using CPLEX

a=0

b=1

c=2

d=2

Please do all parts of this task, not only some of them.

It is obligatory to include charts, screenshots and the conclusion in the answer! Without them, the answer will not be counted.

IF ANYTHING IS UNCLEAR, PLEASE WRITE IN THE COMMENTS WHAT EXACTLY IS UNCLEAR!

Minimize f (X,X2)=X, AX 2 + bx , 2 + cx X2 + dx 2 2 Use any programing language of your preference Use constant lambda Run optimization for three different starting points Draw chart Optimality gap vs iterations Home I -work You can use Wolframalpha to explore function Vary values of lambda Draw chart lambda vs number of iterations