Because the marginal revenue faced by the firm is equal to price, revenue is also equal to price.

This statement seems to be a bit confused. In economics, marginal revenue is the additional revenue that a firm receives from selling one more unit of a good or service. It is calculated by taking the change in total revenue and dividing it by the change in quantity.

On the other hand, price is the amount of money that a buyer pays to a seller in exchange for a unit of a good or service.

While it's true that in perfect competition, the price that a firm can sell its goods or services at is equal to the marginal revenue, this is not the case in all market structures. In monopolistic or oligopolistic markets, for example, firms have some control over the price, and thus the price is not necessarily equal to the marginal revenue.

Furthermore, total revenue is not equal to price, but rather, it is equal to the price times the quantity of goods or services sold. So, while price and marginal revenue can be equal under certain circumstances, it is not accurate to say that revenue is also equal to price.