Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = 3x4 - 16x3 + 24x2 - 6 O x = 0, 2; (0, -6) relative minimum; (2, 10) neither O x = -2, 0, 2; (0, -6) relative minimum; (-2, 266) and (2, 10) neither O x = 0, 2; (0, -6) relative maximum; (2, 10) neither O x = -2, 0, 2; (0, -6) relative maximum; (-2, 266) and (2, 10) neitherSolve the problem. The total cost of producing x units of a certain commodity is C(x) thousand dollars, where C(x) = x3 - 12x2+ 163x +98 The average cost function is A(x) = -. For what values of x is A(x) increasing? For what x values is it decreasing? O Increasing; 0 7 O Increasing; 0 14 Increasing; x > 14; decreasing: 0 7; decreasing: 0