Consider the following problem. Maximize Z = 21 + 62 + 93 subject to 1 + 3 3 (resource 1) 2 + 23 5 (resource 2) 1, 2, 3 0 (a) Construct the dual problem for this primal problem. (b) Solve the dual problem using python. Use this solution to identify the shadow price for the resources in the primal problem. (c) Confirm your solution by solving the primal problem using python