A firm produces two output goods X and Y. The cost of production is given by the function

(,) =3/2^2 + 2^2 + 5.

where and are the amounts of X and Y produced, respectively. Given that the firm charges a price of 5 per unit of X and 24 per unit of Y.

a. Form the profit function for this firm

b. Find the critical values of the profit function

c. Classify these critical points and comment on your answer