Solve the Problem $x$ Hundred Thousand Engines Is Approximated By $P(x)=-x^{3}+27 x^{2}+15 x-52$

Multiple Choice

Solve the problem.
-Because of material shortages, it is increasingly expensive to produce 6.0L diesel engines. In fact, the profit in millions of dollars from producing $x$ hundred thousand engines is approximated by $P(x) =-x^{3}+27 x^{2}+15 x-52$ , where $0 \leq x \leq 20$ . Find the point of diminishing returns.

A) $(9.00,1415.00)$
B) $(9.00,1541.00)$
C) $(6.75,1541.00)$
D) $(9.00,137.00)$