In order to calculate the profit expression, we just need to subtract the revenue by the cost.
So we have:
[tex]\begin{gathered} \text{Profit}=\text{Revenue}-\text{Cost} \\ \text{Profit}=2x^2+55x+10-(2x^2-15x-40) \\ \text{Profit}=2x^2+55x+10-2x^2+15x+40 \\ \text{Profit}=70x+50 \end{gathered}[/tex]
Now, calculating the profit for x = 240, we have:
[tex]\begin{gathered} \text{Profit}=70\cdot240+50 \\ \text{Profit}=16800+50 \\ \text{Profit}=16850 \end{gathered}[/tex]
Therefore the correct option is the third one.
