Why will a profit-maximizing, single-price monopoly NEVER produce the amount of output that maximizes its total revenue?

What will be an ideal response?

When total revenue is at its maximum, the demand is unit elastic and marginal revenue equals zero. However, to maximize its profit, a single-price monopoly produces so that its marginal revenue equals its marginal cost. If marginal revenue equals zero, then in order for this level of output to maximize the monopoly's profit, marginal cost also must equal zero. But marginal cost will never equal zero because to produce another unit always incurs some costs. Because marginal cost cannot equal zero, it is impossible for a profit-maximizing single-price monopoly to produce the amount of output that maximizes its total revenue.