At which point is profit maximized because the quantity of goods demanded and the quantity of goods supplied are equal?

An example diagram of Profit Maximization: In the supply and demand graph, the output of Q* is the intersection point of MR [Marginal Revenue] and MC [Marginal Cost], where MR=MC. The firm which produces at this output level is said to maximize profits. If the output produced is less than the equilibrium quantity [Q*], as shown in the red part, then MR is greater than MC [MR>MC], and the profit is not maximized. The firm has in its interest to raise its output level to maximize profits, because the revenue gained will be more than the cost to pay. However, if the output level is greater than Q* [MRMC], then its total profit is not maximized, because the firm can produce additional units to earn additional profit. In other words, in this case, it is in the "rational" interest of the firm to increase its output level until its total profit is maximized. On the other hand, if the marginal revenue is less than the marginal cost [MR