please do this question correct with its explanation.

2. A company produces three products (x1,x2,x3) using three materials (A,B and C). The following shows the LP model and its solution. Lindo Output) LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE: 500.0000 NO. ITERATIONS =1 RANGES IN WHICH THE BASIS IS UNCHANGED: VARIABLEX1X2X3ROW234CURRENT7.0000005.0000003.000000CURRENTRHS200.000000500.000000300.000000OBJCOEFFICIENTRANGESALLOWABLEINCREASEINFINITY32.000000RIGHTHANDSIDERANGESALLOWABLEINCREASE1333.333252114.285713ALLOWABLEDECREASEO.71111INFINITY0.820513ALLOWABLEDECREASE80.000000266.666656 2. a) Write Dual problem. 2. b) Calculate the marginal cost, the marginal revenue and reduced cost for the product x2. Show all your works how you get the solution. Hint) Use the coefficients of 2 in constraints and dual prices. 2. c) For the objective coefficient for x3, find ranges in which the basic variables are unchanged. Show all your works how you get the solution 2. d) Currently, the profit for the product x1 is 7 (the coefficients of 1 ). If the profit is increased to 9 ( $2 more from current profit), what would be the objective value? Why? (answer with the given output) 2. e) The material C is currently 300 units available. Some supplier wants to sell the material C with $2 / unit. What do you want to do? Why? (answer with the given output)