Problem4

Given the LPM and its final simplex tableau:

Z max: 20_x1 + 12_x2

Subject to:

3_x1 + 2_x2 = 180 (raw material # 1)

_X1 + 0_x2 = 50 (raw material # 2)

_X2 = 50 (raw material # 3)

_{X1 & x2 = 0}

C Basis	20 12 0 0 0 X1 X2 S1 S2 S3	RHSV
X2 12 X1 20 S3 0	0 1 -3/2 0 1 0 0 1 0 0 0 -1/2 3/2 1	15 50 35
Z C-Z	20 12 6 2 0 0 0 -6 -2 0	1180

Required:

1. Identify the shadow prices, and indicate the constraint with which each shadow price is associated.
2. Interpret each shadow price
3. Determine the range of feasibility for raw material 1, 2, & 3 and interpret your answes.