Explain why each of the following statements is false. For...

Key Concepts

Monopoly Profit Maximization

Monopolists do not set price equal to marginal cost; instead, they maximize profits by producing at a quantity where marginal revenue (MR) equals marginal cost (MC). This condition ensures that the cost of producing an additional unit is exactly balanced by the revenue generated from selling that unit, thereby optimizing profitability.

Price Elasticity of Demand

Price elasticity of demand measures how sensitive consumers are to changes in price. For monopolists, the optimal markup over marginal cost is inversely related to the price elasticity of demand, as described by the Lerner Index. A higher elasticity (in absolute value) implies that consumers are more responsive to price changes, leading to a lower optimal markup, not a higher one.

Marginal Principle

The marginal principle refers to the method of decision-making by comparing the additional (marginal) benefits and additional (marginal) costs. Monopolists adhere to this principle by setting production where marginal revenue equals marginal cost, ensuring that every extra unit produced contributes to profit maximization rather than being wasted.

Sales Maximization versus Profit Maximization

While increasing sales might seem beneficial, monopolists focus on profit maximization rather than simply maximizing the volume of sales. Producing more than the profit-maximizing quantity would lower the price and potentially reduce overall profits. Thus, monopolists often produce less output and charge a higher price compared to perfect competitors who produce at the point where price equals marginal cost.

Transcript

00:01 Let's use this diagram to explain why each of the following statements are false.

00:04 So just a quick review of the diagram, first of all.

00:06 So this is for a monopoly.

00:08 We have the demand, marginal revenue, and marginal cost curves.

00:12 Right.

00:12 So we have marginal revenue separate from demand, right? because a monopoly is allowed to set its own price, change its price.

00:20 Right.

00:20 So marginal revenue is going to change with that price, which is unlike in perfect competition, right? the price is given in the firms.

00:28 So no matter what the marginal revenue will.

00:30 The same, so it'll be equal to the demand.

00:33 Right, so first of all, let's look at this statement.

00:35 So a monopolist maximizes profits when marginal cost is equal to price.

00:40 All right, so let's, for example, take that marginal cost equals price, right? so that would be at the point where marginal cost intersects demand, right? because then this would be our price.

00:52 Right, so the problem with this statement is that here, marginal cost is going to be way above marginal revenue.

00:58 Right? and so we're paying way more per unit than we're making in revenue.

01:02 So we're really having a loss on this setup.

01:05 So what's actually going to happen is monopolies are going to set their price where marginal cost is equal to marginal revenue.

01:12 That way, they're not losing any, right? anything past this point, we have marginal costs over marginal revenue.

01:17 And they're also not missing out, right? because here we still have marginal cost greater than, or marginal revenue greater than costs, right? so if we increase production to this point where they're both equal, then we can maximize our process.

01:28 All right, so the next statement is that the higher the price elasticity, the higher a monopolist price above its mc.

01:36 All right.

01:37 So this is wrong because, so first let's talk about elasticity along the demand curve.

01:42 Right.

01:42 So at the point where, at the point where marginal revenue is equal to zero, down here, that's where our demand up here is going to be unit elastic.

01:51 And the reason for that is, so over here, before it crosses this point where it goes from positive to negative, if we decrease our price, right, along this demand curve, then our total revenue is still going to increase, right? our marginal revenue is still positive, so this is still good.

02:07 So this is elastic, right? so elastic is greater than one.

02:11 Now over here, if we decrease the price we're gaining, we're losing total revenue, right? so our marginal revenue is going to be negative.

02:20 So this is where our elasticity is less than one.

02:25 Right? so essentially what it's saying, so the higher the price elasticity, which means so as we go along this marginal revenue curve, they're saying that the higher monopolist price is above its mc.

02:38 Right.

02:38 So and a price that they're going to set is where mc equals mr.

02:43 So say that mc equal to mr here, then its price would only be this high above and it's much more elastic than over here...

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