Apple-R-Us is a Washington apple orchard. Its long run total cost curve is TC=Q^3-40Q^2+430Q; where q is the number of apples per week.
A) what is the general shape of Apples-R-Us total cost curve?
B) what is Apple-R-Us average cost function?
C) at what level of output does average cost reach a minimum ?
D) what is the average cost at its minimum?
E) what is the marginal cost for Apples-R-Us?
F) show that Apple-R-Us marginal cost curve intersects average costs at average costs minimum?