INSTRUCTIONS: DRAW neat and clear graphs, and label both axes and all lines. EXPLAIN briefly your solutions/results. DO NOT CLUTTER! Show your work!...

(OVER)

Q2. (a) Solve the following LP model graphically using the objective function (show the feasible region and the optimal solution point on your graph, calculate the optimal value of the objective function):

Minimize Cost                     $24X + $28Y

s.t.                             (1)            5X + 4Y < =             2000

                                    (2)            X + Y        >=             300

                                    (3)            X               > =            80

                                    (4)            Y                > =            100

                                    and         X, Y > = 0

(b) What will be the optimal solution if the objective function changes to 28X + 24Y? Show on graph.

(c) Find the valu4es of SLACK/SURPLUS variables for the above problem 2(a).