2. Consider the used-car market for the 2017 Citrus described in class. Each owner of an orange Citrus values it at $12,500; she is willing to part with it for a price greater than or equal to $12,500. Similarly, each owner of a lemon Citrus values it at $3,000. There is now a surge in demand for used Citruses: buyers would now be willing to pay up to $18,000 for an orange and $8,000 for a lemon. All else remains identical to the previous (i.e., in-class) example. (a) What price would buyers be willing to pay for a 2017 Citrus of unknown type if the fraction of oranges in the population, f. were 0.6? (b) Will there be a market for oranges if f=0.6? Explain. (c) What price would buyers be willing to pay if f= 0.2? (d) Will there be a market for oranges if f = 0.2? Explain. (e) What is the minimum value of f such that the market for oranges does not collapse?

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Chapter5: Elasticity
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2. Consider the used-car market for the 2017 Citrus described in class. Each owner of an orange
Citrus values it at $12,500; she is willing to part with it for a price greater than or equal to
$12,500. Similarly, each owner of a lemon Citrus values it at $3,000. There is now a surge in
demand for used Citruses: buyers would now be willing to pay up to $18,000 for an orange and
$8,000 for a lemon. All else remains identical to the previous (i.e.., in-class) example.
(a) What price would buyers be willing to pay for a 2017 Citrus of unknown type if the fraction
of oranges in the population, f, were 0.6?
(b) Will there be a market for oranges if f =0.6? Explain.
(c) What price would buyers be willing to pay if f = 0.2?
(d) Will there be a market for oranges if f = 0.2? Explain.
(e) What is the minimum value of f such that the market for oranges does not collapse?
(f) Explain why the increase in the buyers' willingness to pay changes the threshold value of f.
where the market for oranges collapses (as compared to the in-class example).
Transcribed Image Text:2. Consider the used-car market for the 2017 Citrus described in class. Each owner of an orange Citrus values it at $12,500; she is willing to part with it for a price greater than or equal to $12,500. Similarly, each owner of a lemon Citrus values it at $3,000. There is now a surge in demand for used Citruses: buyers would now be willing to pay up to $18,000 for an orange and $8,000 for a lemon. All else remains identical to the previous (i.e.., in-class) example. (a) What price would buyers be willing to pay for a 2017 Citrus of unknown type if the fraction of oranges in the population, f, were 0.6? (b) Will there be a market for oranges if f =0.6? Explain. (c) What price would buyers be willing to pay if f = 0.2? (d) Will there be a market for oranges if f = 0.2? Explain. (e) What is the minimum value of f such that the market for oranges does not collapse? (f) Explain why the increase in the buyers' willingness to pay changes the threshold value of f. where the market for oranges collapses (as compared to the in-class example).
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