Solve LP model

1) 51+52+93>=1200 NO. ITERATIONS =2 RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES VARIABLE CURRENT ALLOWABLE ALLOWABLE X1X2X3EEOEF39.00000048.00000021.000000INCREASEINFINITY0.9729744.800001DECREASE0.71287336.3333323.857143 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE \begin{tabular}{llll|l} C.1 & 1200.000000 & 1500.000000 & 664.285706 \\ C.2 & 1500.000000 & 1860.000000 & 833.333252 \end{tabular} a. Give the complete optimal solution and objective function value. ( 5 points) b. Which constraints are binding? ( 5 points) c. What is the dual price for the first constraint? What interpretation does this have? (5 points) d. Over what range can the objective function coefficient of X1 vary before a new solution point becomes optimal? (5 points) e.By how much can the amount of resource constraint 1 decrease before the dual price will change? (5 points) f. What would happen if the first constraint's right-hand side increased by 1000 and the second's decreased by 400 ? (5 points) Hint: Perform the 100% rule test