1. ( 30pts ) Consider the model with two functional constraints and two variables given below. MaximizeZ=x1+2x2, subject to x1+3x28x1+x24 and x10,x20. a) Construct the dual problem for this primal problem. b) Solve both the primal- and the dual-problem graphically. Identify all basic solutions (both feasible and infeasible solutions) for both problems. Calculate the objective function values for all these solutions. c) Use the information obtained in part (b) to construct a table listing the complementary basic solutions for these problems