Question

In: Economics

Suppose Barefeet is a monopolist that produces and sells Ooh boots, an amazingly trendy brand with no close substitutes.

 Suppose Barefeet is a monopolist that produces and sells Ooh boots, an amazingly trendy brand with no close substitutes. The following graph shows the market demand and marginal revenue (MR) curves Barefeet faces, as well as its marginal cost (MC), which is constant at $40 per pair of Ooh boots. For simplicity, assume that fixed costs are equal to zero; this, combined with the fact that Barefeet's marginal cost is constant, means that its marginal cost curve is also equal to the average total cost (ATC) curve.


 First, suppose that Barefeet cannot price discriminate. That is, it must charge each consumer the same price for Ooh boots regardless of the consumer's willingness and ability to pay.


 On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity. Next, use the purple points (diamond symbol) to shade the profit, the green points (triangle symbol) to shade the consumer surplus, and the black points (plus symbol) to shade the deadweight loss in this market without price discrimination. (Note: If you decide that consumer surplus, profit, or deadweight loss equals zero, indicate this by leaving that element in its original position on the palette.)

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 Now, suppose that Barefeet can practice perfect price discrimination-that is, it knows each consumer's willingness to pay for each pair of Ooh boots and is able to charge each consumer that amount.


 On the following graph, use the black point (plus symbol) to indicate the profit-maximizing quantity sold and the lowest price at which the firm sells its boots. Next, use the purple points (diamond symbol) to shade the profit, the green points (triangle symbol) to shade the consumer surplus, and the black points (plus symbol) to shade the deadweight loss in this market with perfect price discrimination. (Note: If you decide that consumer surplus, profit, or deadweight loss equals zero, indicate this by leaving that element in its original position on the palette.)

image.png

 Consider the welfare effects when the industry operates under a monopoly and cannot price discriminate versus when it can price discriminate.

 Complete the following table by indicating under which market conditions each of the statements is true. (Note: If the statement isn't true for either single-price monopolies or perfect price discrimination, leave the entire row unchecked.) Check all that apply.

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Solutions

Expert Solution

(1) A non-discriminating single price monopolist will charge a uniform price from all consumers, and will maximize profit at intersection of MR and MC. Since I cannot access your graph tool, I'm labelling the regions you need to shade in.

Monopoly price = P0 and output = Q0

Consumer surplus (CS) = Area between demand curve and price = Area ABP0

Profit = Quantity x (Price - ATC) = Area P0BCD

Deadweight loss (DWL) = Area BCE

(2) With perfect (first degree) price discrimination, monopolist will charge a unit a price equal to the MC, and Profit will be equal to full amount of CS. There is no deadweight loss. In following graph, price is D and quantity is Q1.

Profit = CS = Area AED

(3)

There is deadweight loss - Single price monopoly

Total surplus is maximized - Perfect price discrimination

Barefeet produces a quantity less than efficient quantity - Single price monopoly


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