Introduction to Operations Research

ANSWERS

Scientific Decision-Making and Mathematical Modeling

Prof. dr. E-H. Aghezzafir. Rodrigo Rezende Amaral

Exercise 1

Exercise 1

Exercise 1

The line representing the objective function (drawn here for z = 5) is parallel to the corn constraint. All solutions in the line segment between point (10, 5) and (12, 0) are optimal solutions, with z = 60.

Exercise 2

Exercise 2

Exercise 3

Exercise 3

Exercise 4

Exercise 4

Exercise 4

Exercise 6

Exercise 6

Exercise 7

Exercise 7

all variables >= 0

Exercise 8

Exercise 8

Exercise 10

Remark:

Simple interest$100 invested for four months becomes$108 = (1+4*2%)*$100

Exercise 10

Exercise 11

Exercise 11