Consider the function f(x,y) = (x 1)^2 +(y2)^2 1.

a. Draw level curves for this function atf(x,y) = 1,2,3.You are asked to minimize this function subject to the constraint x +y a, where a is a parameter.

b. Write out the Lagrangian.

c. State the first order conditions.

d. For what values of a would the constraint be binding.

e. Use your level curves diagram to explain your answer