Essentials of Economics 7th Edition by Gregory Mankiw

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Consider the relationship between monopoly pricing and price elasticity of demand:
a. Explain why a monopolist will never produce a quantity at which the demand curve is inelastic. (Hint: If demand is inelastic and the firm raises its price, what happens to total revenue and total costs?)
b. Draw a diagram for a monopolist, precisely labeling the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal-revenue curve.)
c. On your diagram, show the quantity and price that maximizes total revenue.