2. A linear programming model is given as follows:

Minimize = 5.21 + 2.52 + 6.03

Subject to

31 + 22 + 23 200

1/ 1 + 2 + 3 0.4

2 + 3/ 21 0.2

1 2 + 3

1,2,3 0 (a) Solve the problem by using the computer. What are the minimum Z and the optimal point?

(b) Obtain the values of the slack/surplus variables at the optimal solution in (a)

(b) Identify the sensitivity range of the objective function coefficient of 2. \

(c) Identify the sensitivity range of the value of the 1st resource constraint (right-hand side).

(d) Identify the sensitivity range of the value of the 3rd resource constraint (right-hand side).

(e) which of the following makes the model infeasible? (Choose one)

i. Increase of the coefficient of 1 on the objective function to 2000

ii. Decrease of the coefficient of 1 on the 1st constraint to -5

iii. Addition of a new constraint, 1 + 22 + 33 100 iv.

Removal of the non-negativity constraints for 1,2,3

v. None