question 2.part 2.1-2.2

QUESTION 2 [20] PPC have included three new variants of cement to their product line. An objective function designed to minimise raw material costs and three production constraints are as follows: Minimise: Z = 100X1 + 20X2 - 150X3 Subject to: 2X1 - 2X2 = 2000 4X2 + 4X3 = 4000 2X1 s 3000 2.1 Convert the above constraints and objective function to the simplex format, by adding the appropriate slack, surplus or artificial variables for use in the simplex table. Show all calculations. (4) 2.2 Set up and complete the simplex tables and indicate the pivot number in each table. (16) C Sol. Mix Qty Z C-Z