Consider the nonlinear optimization model stated below. Mins.t.2X218X+2XY+Y214Y+52X+4Y9 (a) Find the minimum solution to this problem. at(x,y)=() (b) If the right-hand side of the constraint is increased from 9 to 10, how much do you expect the objective function to change? Based on the dual value on the constraint X+4Y9, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 10. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 10 the new optimal objective function value is , so the actual change is a decrease of rather than what we expected in part (b). Consider the nonlinear optimization model stated below. Mins.t.2X218X+2XY+Y214Y+52X+4Y9 (a) Find the minimum solution to this problem. at(x,y)=() (b) If the right-hand side of the constraint is increased from 9 to 10, how much do you expect the objective function to change? Based on the dual value on the constraint X+4Y9, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 10. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 10 the new optimal objective function value is , so the actual change is a decrease of rather than what we expected in part (b)