Please determine whether the following sentence is true or false. And explain your answer. A firm is currently producing 100 units of output per day....

Please determine whether the following sentence is true or false. And explain your answer.

A firm is currently producing 100 units of output per day.  The manager reports to the owner that producing the 100th unit costs the firm $5.  The firm can sell the 100th unit for $4.75.  The firm should continue to produce 100 units in order to maximize its profits.