3. Suppose that De Beers is a single-price monopolist in the market for diamonds. De Beers has five potential customers: Raquel, Jackie, Joan, Mia, and Sophia. Each of these customers will buy at most one diamond-and only if the price is just equal to, or lower than, her willingness to pay. Raquel's willingness to pay is $400; Jackie's, $300; Joan's, $200; Mia's, $100; and Sophia's, $0. De Beers's marginal cost per diamond is $100. This leads to the demand schedule for diamonds shown in the accompanying table. Price of Diamond Quantity of Diamonds Demanded Total Revenue Marginal Revenue $500 $400 $300 $200 $100 $0 2. 3. 4. 5

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Chapter9: Monopoly
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Problem 32P: Draw the demand curve, marginal revenue, and marginal cost curves from Figure 9.6, and identify the...
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3. Suppose that De Beers is a single-price monopolist in the market for diamonds. De
Beers has five potential customers: Raquel, Jackie, Joan, Mia, and Sophia. Each of
these customers will buy at most one diamond-and only if the price is just equal to, or
lower than, her willingness to pay. Raquel's willingness to pay is $400; Jackie's, $300;
Joan's, $200; Mia's, $100; and Sophia's, $0. De Beers's marginal cost per diamond is
$100. This leads to the demand schedule for diamonds shown in the accompanying
table.
Quantity of
Diamonds
Demanded
Price of Diamond
Total Revenue
Marginal Revenue
$500
$400
1
$300
$200
3
$100
4
$0
a. Calculate De Beers's total revenue and its marginal revenue. From your
calculation, draw the demand curve and the marginal revenue curve.
b. Explain why De Beers faces a downward-sloping demand curve.
c. Suppose De Beers currently charges $200 for its diamonds. If it lowers the price
to $100, how large is the price effect? How large is the quantity effect?
d. Add the marginal cost curve to your diagram from part a and determine which
quantity maximizes De Beers's profit and which price De Beers will charge.
e. If a policymaker wanted to break up De Beer's and go back to a socially efficient
market, based on your graph is it better for the consumer to purchase from De
Beer's or when it is a socially efficient market? Please explain from the graph
why.
Transcribed Image Text:3. Suppose that De Beers is a single-price monopolist in the market for diamonds. De Beers has five potential customers: Raquel, Jackie, Joan, Mia, and Sophia. Each of these customers will buy at most one diamond-and only if the price is just equal to, or lower than, her willingness to pay. Raquel's willingness to pay is $400; Jackie's, $300; Joan's, $200; Mia's, $100; and Sophia's, $0. De Beers's marginal cost per diamond is $100. This leads to the demand schedule for diamonds shown in the accompanying table. Quantity of Diamonds Demanded Price of Diamond Total Revenue Marginal Revenue $500 $400 1 $300 $200 3 $100 4 $0 a. Calculate De Beers's total revenue and its marginal revenue. From your calculation, draw the demand curve and the marginal revenue curve. b. Explain why De Beers faces a downward-sloping demand curve. c. Suppose De Beers currently charges $200 for its diamonds. If it lowers the price to $100, how large is the price effect? How large is the quantity effect? d. Add the marginal cost curve to your diagram from part a and determine which quantity maximizes De Beers's profit and which price De Beers will charge. e. If a policymaker wanted to break up De Beer's and go back to a socially efficient market, based on your graph is it better for the consumer to purchase from De Beer's or when it is a socially efficient market? Please explain from the graph why.
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