Question 2: Consider the LINDO output given below. VARIABLE OBJ COEFFICIENT RANGES CURRENT COEF ALLOWABLE INCREASE ALLOWABLE DECREASE **** X1 4.000000 1.000000 INFINITY X2 6.000000 0.666667 0.500000 X3 7.000000 1.000000 0.500000 X4 8.000000 2.000000 INFINITY RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2345 950.000000 50.000000 100.000000 400.000000 37.500000 125.000000 4600.000000 250.000000 150.000000 5000.000000 INFINITY 250.000000 a) For what values of b does the current basis remain optimal? b) For what values of b24 does the current basis remain optimal? c) For what values of C2 does the current basis remain optimal? Question 3: Consider the LINDO output given below. LP OPTIMUM FOUND AT STEP OBJECTIVE FUNCTION VALUE 1) 11600.0000 VALUE 400.000000 VARIABLE x1 x2 200.000000 X3 400.000000 X4 .000000 ROW SLACK OR SURPLUS 2) 3) .000000 .000000 4) 5) 300.000000 .000000 NO. ITERATIONS- REDUCED COST .000000 .000000 .000000 7.000000 DUAL PRICES -30.000000 -4.000000 .000000 5.000000 a) If you could buy an additional unit of the fourth resource for a cost of $3, would you do this? Why? b) Find the shadow prices of the first, second, and third resources.