Solve all parts

14. (10) Consumer a maximization problem: (a) Consumer has $1; price of z is $2, price of y is $3, utility function is ry. (b) Form utility maximization problem and find the solution analytically. (c) Solve the maximization problem by the gradient ascent method. Use learning rate a = 0.1. Compute the first 3 iterations. (d) Solve the maximization problem by the Newton method. Compute the first 3 iterations. What does quadratic convergence rate means