Given an optimal simplex tableau of a maximization problem and all constraints and 4,x5,x6 are

decision variables.

Basic	Z	x1	x2	x3	x4	x5	X6	Right Side
Z	1	0	0	0	3	0	5
X1	0	1	1	0	2	0	1	2
X3	0	0	0	1	1	0	4	2
X5	0	0	-2	0	-1	1	3	1

Part a) Give the optimal solution for decision variables.

Part b) Give the optimal value for dual decision variables.

Part c) If you could buy an additional unit of the first resource for a cost of 7/2, would you do this? Why?

Part d) Find the objective value .(Hint: you can use matrix operations of Slide 8 Lecture 6)

Part e) Find the range for objective function coefficient of % that will keep the current solution optimal.