q1 find three positive numbers whose sum is 54

Question

Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible

Q2: Let f(x, y) = x² + 3y - 3xy and R is the triangular region with vertices (0, 0), (2, 0) and (2, 2). Find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.