Suppose a company's revenue function is given by
R(q)=-q^(3) 370q^(2)
and its cost function is given by
C(q)=190 13q
, where
q
is hundreds of units sold/produced, while
R(q)
and
C(q)
are in total dollars of revenue and cost, respectively.
A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.)
MP(q)=
◻
B) How many items (in hundreds) need to be sold to maximize profits?
Answer:
◻
hundred units must be sold. (Round to two decimal places.)