please show work.

Question 5 Co/ 12 pts 0 3 24 0 Details For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification. Find and classify the critical points of z = (12 - 7x) (y' - 3y). Local maximum: Local minimum: Saddle point(s)