Question (1) Tick T if true or F if false for one of the following statements: 1. ( ) In the tableau of the DUALSIMPLEX

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Question (1) Tick T if true or F if false for one of the following statements: 1. ( ) In the tableau of the DUALSIMPLEX METHOD, if none of the coefficients associated with the constraint of the equation of the variable that leaves the base, is negative then the PPL has no viable solution.
2. ( ) In DUAL SIMPLEX METHOD, the initial solution must be optimal and unfeasible.
3. ( ) Adding a new activity to the LINCAR model can improve the objective optimal value.
4. ( ) Adding a new constraint to the PPL can improve the objective optimal value.
5. ( )Change made in the objective function (in the cost vector) in the coefficient of the basic variable of the optimal solution, may result in a shift in all coefficients of non-basic variables in the tableau optimal.