optimization question please solve ASAP

Consider the following production planning promlem. The resources needed to produce one unit of each product are: Product Product Product Available 1 2 3 Raw material 8 6 1 48 Hours of labor 4 2 1.5 20 Machine Hour 2 1.5 0.5 8 Profit 60 30 20 Consider the following LINDO outputs for the given problem. LP OPTIMUM FOUND AT STEE 2 OBJECTIVE FUNCTION VALUE 1) 280.0000 VARIABLE VALUE REDUCED COST X1 2.000000 0.000000 X2 0.000000 5 X3 8.000000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES 2) 24.000000 0.000000 3) 0.000000 10.000000 4) 0.000000 10.000000 NO. ITERATIONS= 2 RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES VARIABLE CURRENT ALLOWABLE ALLOWAELE COEE INCREASE DECREASE X1 0.000000 20.000000 4.000000 X2 30.000000 5.000000 INFINITY X3 20.000000 2.500000 5.000000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 48.000000 INFINITY 24.000000 3 20.000000 4.000000 4.000000 4 8.000000 2.000000 1.333333 a) Formulate an LP model to maximize profit (Let x; = number of units of product i to be produced.) and write the optimal solution and optimal objective function for the LP problem. b) Using the given optimal primal solution and the theorem of complementary slackness find the optimal solution to the dual of the given problem. c) For what values of the all products profits would the current basis remains optimal