Suppose you estimate the short$-$run total cost function to be TC $=200+10$Q $+0\mathrm{.}1$Q$2.$

Also, suppose you can sell every unit produced at a $$500$ price so you have a marginal revenue of $$500$ for each unit.

If so$,$ which rounded value below is closest to your maximum profit at the optimal profit maximizing quantity? $($Hint$,$ solve for TR $=$ P$*$Q and solve for TC using total cost function and your optimal Q$)$

Question $10$ options:

a$)$

$$450,000$

b$)$

$$600,000$

c$)$

$$500,000$

d$)$

$$550,000$

$1550$

c$)$

$1850$

d$)$

$2450$