Math

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.

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