A Company That Produces Video Games Estimates That the Profit $P$

A company that produces video games estimates that the profit $P$ (in dollars) for selling a new game is given by $P = - 82 x ^ { 3 } + 7250 x ^ { 2 } - 450,000,$ $0 \leq x \leq 80$ where $x$ is the advertising expense (in tens of thousands of dollars) . Using this model, how much should the company spend on advertising to obtain a profit of $6,100,000? Round to the nearest dollar.

A) $368,914 or $764,017
B) $410,790 or $737,145
C) $344,417 or $778,509
D) $433,844 or $721,190
E) $315,902 or $794,255