Question 3 Consider the following problem (First convert the problem to a maximization problem like we did in class) Min. Z = 3x1 + 2x2 + 4x3 2x1 + x2 + 3x3 = 60 3x2 + 3x2 + 5x3 > 120 X1, X2, X320 s.t. Select the correct answer for the following questions 1. Construct the starting simplex table ii. Identify the initial artificial basic feasible solution Ill. Identify the entering basic variable and the leaving basic variable. Z Soln. Starting simplex table Basic X1 Variable -5M+3 -4M+2 -8M+4 0 -180M o a2033 120 Initial artificial basic feasible solution: X1 = 0.x2 = 0, x3 = 0, a1 = 60, a2 - 120 Entering basic variable: X3 enters the basis Leaving basic variable: al leaves the basis Starting simplex table Basic X1 X2 Variable X3 a2 Soln. -3M+5 -2M+4 -4M+8 ay 0 -180M 60 120 Initial artificial basic feasible solution: x = 0, X2 = 0, X3 = 0, a, = 60, az = 120 Entering basic variable: X3 enters the basis Leaving basic variable: az leaves the basis Starting simplex table -3M+5 -2M+4 -4M+8 -180M 01060 033 5- 101120 Initial artificial basic feasible solution: x1 = 0, X2 = 0, X3 = 0, a = 60, az = 120 Entering basic variable: X3 enters the basis Leaving basic variable: az leaves the basis Starting simplex table Basic Variable X2 X3 R a az Soln. -5M+3 -4M+2 -8M+4 -180M 30 1060 3 5 -1 0 1 120 ca zo o 0 - Initial artificial basic feasible solution: x1 = 60, X2 = 120, X3 -0,1 - 0, a2 = 0 Entering basic variable: X3 enters the basis Leaving basic variable: az leaves the basis Clear answer Back Next