Consider the following linear programming model: Max 2X + 4Y + 6Z Subject to Z 0 X + Y + Z 20 X, Y, Z 0

Reference: LP Model 1

The optimal solution is (X, Y, Z) = (0, 20, 0). Which of the following statement is not correct?

	A.	The optimal objective function value greater than 60.
	B.	The first and second have slack zero.
	C.	The problem has has more than one feasible solution.
	D.	The last constraint means that decision variables can only take on positive integer values.
	E.	None of the above

Consider the following linear programming model: Max 2X + 4Y + 6Z Subject to Z 0 X + Y + Z 20 X, Y, Z 0

Reference: LP Model 1

Knowing that the unit contribution of variable X has to increase by 2 before it can take a positive value in the optimal solution, which of the following is true?

	A.	the shadow price is 2
	B.	the shadow price is -2
	C.	the reduced cost is -2
	D.	the slack is 2
	E.	None of the above

Consider the following linear programming model: Max 2X + 4Y + 6Z Subject to Z 0 X + Y + Z 20 X, Y, Z 0

Reference: LP Model 1

Suppose that when the RHS of Constraint 1 increases by 3 units within the allowable range, the objective function increases by 6. Which if the following is true?

	A.	the solution did not change.
	B.	the reduced cost must be 2.
	C.	the shadow price must be 2
	D.	the constraint is no longer binding.
	E.	None of the above

Consider the following linear programming model: Max 2X + 4Y + 6Z Subject to Z 0 X + Y + Z 20 X, Y, Z 0

Reference: LP Model 1

Suppose that the objective function coefficient for variable Z increases by 1. What impact will this have on the current values of the optimal solution?

	A.	Solution will become infeasible
	B.	No change
	C.	Not enough information is provided
	D.	Current solution will change