Given that non negative integers x, y, Z satisfy X-1 / 2 = 6-y / 3 = Z-3 / 4, let w = 3x + 4Y + 5Z, find the maximum and minimum of W

Given that non negative integers x, y, Z satisfy X-1 / 2 = 6-y / 3 = Z-3 / 4, let w = 3x + 4Y + 5Z, find the maximum and minimum of W

Let (x-1) / 2 = k, (6-y) / 3 = k, (Z-3) / 4 = k, then x = 2K + 1, y = 6-3k, z = 4K + 3, because x, y, Z are non negative integers,
So 2K + 1 > = 0, 6-3k > = 0, 4K + 3 > = 0, so - 1 / 2