Answer the following statement(s) true (T) or false (F)

Question

1. At each iteration of the simplex procedure, a new variable becomes basic and a currently basic variable becomes nonbasic, preserving the same number of basic variables and improving the value of the objective function.
2. Coefficients in a nonbasic column in a simplex tableau indicate the amount of decrease in the current basic variables when the value of the nonbasic variable is increased from 0 to 1.
3. If a variable is not in the basis, its value is 0.
4. The purpose of row operations is to create a unit column for the entering variable while maintaining unit columns for the remaining basic variables.
5. Infeasibility can be recognized when the optimality criterion indicates that an optimal solution has been obtained, and one or more of the artificial variables remain in the solution at a positive value.

Answer 1

1. TRUE
2. TRUE
3. TRUE
4. TRUE
5. TRUE