A concert promoter sells tickets and has a marginal-profit function given below, where ${\mathrm{P}}^{\prime }(\mathrm{x})$ is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, $x$, is $P^{\prime }(x)$. Find the total profit from the sale of the first 90 tickets, disregarding any fixed costs.
$$P^{\prime }(x)=9x-1084$$
The total profit is $\mathrm{\$}$
(Round to the nearest cent as needed.)

Step 1 ：Given the marginal-profit function $P^{\prime }(x)=9x-1084$, where $P^{\prime }(x)$ is in dollars per ticket and $x$ is the number of tickets sold.

Step 2 ：The total profit from the sale of the first 90 tickets is the integral of the marginal profit function from 0 to 90.

Step 3 ：Calculate the integral of $P^{\prime }(x)=9x-1084$ from 0 to 90 to find the total profit.

Step 4 ：The total profit from the sale of the first 90 tickets is -61110 dollars.

Step 5 ：However, it's unusual for a profit to be negative. This could mean that the costs associated with selling the tickets (such as production costs, marketing, etc.) are greater than the revenue from ticket sales.

Step 6 ：Final Answer: The total profit from the sale of the first 90 tickets is $\boxed{{\displaystyle -\mathrm{\$}61110}}$.