Label each of the following statements TRUE or FALSE If the

Label each of the following statements TRUE or FALSE. If the statement is FALSE, provide a counterexample.
a. A noncanonical linear programming problem with more unconstrained independent variables than constraints is unbounded.

Solution

The statement is FALSE

Reason: For non-canonical linear programming problem with more unconstrained independent variables, then the constraints is bounded

Example:

Max = 2x + 2y + 2z

Constraints:

x + y + z <= 1

x,y,z>=0

The maximum value of this function will be equal to 2,there are more unconstrained independent variables then the conditions