1. Other
  2. Other
  3. exercise 21 consider the following constraints in two variables 1...

Question: exercise 21 consider the following constraints in two variables 1...

Question details

Exercise 2.1. Consider the following constraints in two variables: (1) xi + r2 < 3; (2)-+4r2 5; and (3) xi 3. (a) Define the matrix A and vector b to express the constraints in the form Az b (b) Draw the constraints and shade in the feasible region defined by the constraints. (c) Let be the point lying on the hyperplanes of the second and third constraints. Write down the linear system that satisfies and solve for . Is T a corner point? Why or why not? (d) Consider the LP minimize cr subject to Ar 2 b with A and b defined above. (i) Define a vector c such that the LP has infinitely many solutions. ii) Define a vector c such that the LP has a unique solution. iii) Define a vector c such that the LP is unbounded.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution