Problem 5: Use the Lagrange Multiplier method to solve the following constrained problem. A triangle is inscribed in a circle. Calculate the maximum area possible of the triangle. a. Use the Lagrange multiplier method to solve the constrained optimization problem and show your solution process. (10 points} b. Calculate the largest area of the inscribed triangle. {5 points} max:A(x,y)=x(Ry) subject to: x2 +y2 :R2 R 5 x5 +R R S y S +R \f(0, R) > (-x, y ) (x, y ) X X