Explain carefully why firms with market power do not, in general, also maximize total revenue

Firms having market power are usually defined as price maker because they set the market price of an object without surrendering the market share. The revenue of the company is the money that it earns from selling its product.

Revenue= price* quantity

The firm with market power uses the rule of MR=MC for maximizing the profit. At profit maximization output Q, MR=MC there is no reason for a firm to decrease or increase output because any such change will decrease the profit of the firm. Market power enables firms to raise their prices without losing any consumers.

The total revenue is maximized, where MR=0. Thus, market power generally doesn't maximize revenue.