Find the absolute maximum and minimum values of f(x) = 9x³- 54x²+ 81x + 13 on the interval [-6, 2].

a)

max f(x) = f(1) = 49

min f(x) = f(-6) = -4361

b)

max f(x) = f(1) = 4361

min f(x) = f(-6) = -49

c)

max f(x) = f(-6) = -4361

min f(x) = f(1) = 49

d)

max f(x) = f(1) = 4361

min f(x) = f(-6) = 49

A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) =0.4q²+3q+40 thousand dollars, and all q units can be sold at a price of p(q)= 22.2 - 1.2q dollars per unit. At what level is the average cost per unit minimized?

a) 10 thousand

b) 17.6 thousand

c) 9 thousand

d) 6 thousand