Consider the LINDO output:

a. What is the optimal solution?

b. What is the status of the resources and why?

c. If resource 1 is increased by 100 units, will the optimal solution change?

d. If resource 2 is increased by 10 units will the optimal solution change?

e. If resource 3 is increased by 5 units, will the optimal solution change?

f. Which resource would be given the priority to increase? Why?

g. If the objective function coefficient of X1 is changed to 25, will the optimal solution change?

h. If the objective function coefficient of X2 is changed to 20, will the optimal solution change?

LP OPTIMUM FOUND AT STEP 3 OBJECTIVE FUNCTION VALUE 1) 55.60563 VARIABLE xi X2 VALUE 1.309859 2.309859 REDUCED COST 0.000000 0.000000 ROW 2) 3) SLACK OR SURPLUS 0.000000 0.000000 1.690141 DUAL PRICES 0.436620 1.464789 0.000000 NO. ITERATIONS: 3 RANGES IN WHICH THE BASIS IS UNCHANGED: VARIABLE CURRENT COEF 16.000000 15.000000 OBJ COEFFICIENT RANGES ALLOWABLE INCREASE 3.354839 INFINITY ALLOWABLE DECREASE 31.000002 2.600000 xi X2 ROW RIGHTHAND SIDE RANGES ALLOWABLE INCREASE 120.000000 3.000000 INFINITY CURRENT RHS 124.000000 1.000000 3.000000 2 3 4 ALLOWABLE DECREASE 93.000000 3.870968 1.690141