The total cost
C(q)
of producing q goods is given by the following equation.
C(q) = 0.01q^3 − 0.6q^2 + 13q
a) What is the fixed Cost?
b) What is the maximum profit if each item is sold for $9? (Assume you sell everything you produce. Round your answer to the nearest cent.)
c) Suppose exactly 36 goods are produced. They all sell when the price is $9 each, but for each $1 increase in price, 2 fewer goods are sold. Should the price be raised?
^ I know that the price should be raised.
If the price should be raised, by how much?
^I don't know how to solve this problem.