Consider the constrained optimization problem as: Maximize r=-60 + 140Q1 + 100Q2 - 10Q-8Q22 - 6Q Q2 subject to 200 - 40Q2 = 200 a. Find the optimal solution (good 1: Qand good 2: Q2) to the constrained profit maximization problem. Further, draw the diagram and show the optimal solution points of above Constrained Profit Maximization. b. Verify the above the optimal solution (good 1: Q and good 2: Q2) to the constrained profit maximization problem with Lagrangian multiplier technique