The total cost C(q) of producing q goods is given by:
C(q) = 0.01q^{3}-0.6q^{2}+14q

What is the fixed cost?

fixed cost =

What is the maximum profit if each item is sold for 6
dollars? *(Assume you sell everything you produce. Also note
that you can only produce a whole number of goods.)*

maximum profit =

Suppose we fix production at 32 goods produced, and that they all sell when the price is 6 dollars each. Also suppose that for each 1 dollar increase in price, 2 fewer goods are sold (so if the price is 7 dollars, 30 of the 32 goods being produced are sold.)

To maximize profit in this case, we should

(Enter zero if the price should remain at 6 dollars.)

You can earn partial credit on this problem.