please solve both parts along with diagrams

Consider the constrained optimization problem as: 1 Maximize n =-60 + 140Q1 + 100Q2-10021-8Q22-6Q1Q2 subject to 20Q1 +40Q2 = 200 a. Find the optimal solution (good 1: Q1 and 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: Q1 and good 2: Q2) to the constrained profit maximization problem with Lagrangian multiplier technique