Note: Show your work to earn full credit.

Computer output for the optimal solution of the following LP problem is given in the attached 2nd age page.

Min 0.25S + 0.50E + 3.00A

s.t. 0.80S + 0.20E > 3Ingredient A

1.00S + 1.50E + 3.00A> 6Ingredient B

0.10S + 0.60E + 2.00A> 4Ingredient C

S + E + A

S, E, A> 0

(A) (4 points) Give your comments on the effect of increasing the objective function coefficient of the first decision variable, S by 2.00? Why?

(B) (4 points) What is the range of feasibility for the right hand side of the 3rd constraint?

(C) (4 points) Give the optimal solution for the problem.

(D) (4 points) Give your comments on the effect of changing the right hand side of the 1st constraint to 3.3.

Objective Function Value - 5.973 Variable Value Reduced Coats S E 3.514 0.946 1.541 0.000 0.000 0.000 Constraint Slack/Surplus Dual Prices 1 2 3 4 0.000 3.554 0.000 0.000 -1.216 0.000 -1.959 0.919 OBJECTIVE COBPPICIENT RANGES Variable Lower Limit Current Value Upper Limit s E -0.393 No Lower Limit 1.522 0.250 0.500 3.000 No Upper Limit 0.925 No Upper Limit RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 1 1.143 No Lower Limit 2.100 5.562 3.000 6.000 4.000 6.000 3.360 9.554 4.875 8.478