16 Eradication of a disease with a vaccine subsidy. A terrible disease called fictitia is ravaging the woebegone nation of Pcoria. Fortunately, government scientists have just discovered the formula for an effective vaccine. Given current raw material prices, it costs $10 to produce each dose of vaccine. Assume that Pcoria has 100 citizens, and that the demand for vaccine in the first time period is Q=100 – where P is vaccine price and y is disease prevalence. a Assume a competitive vaccine manufacturing market and a disease prevalence of 20% (y =0.2). How many citizens demand the vaccine this period? b After this initial round of vaccinations, demand for the vaccine plummets because many citizens have been vaccinated and do not need another vaccine. Among the unvaccinated population, demand is now %3D Q=50 – The fictitia outbreak has slowed down considerably but the prevalence is still ris- ing. Now assume y =0.25. How many unvaccinated citizens will demand vaccine this period? c The demand for vaccine in the third period Q= 40 – P/y. Because of the suc- cess of the vaccination campaign, disease prevalence is now 10%. How many unvaccinated citizens demand vaccine this period?

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16 Eradication of a disease with a vaccine subsidy. A terrible disease called fictitia is
ravaging the woebegone nation of Pcoria. Fortunately, government scientists have just
discovered the formula for an effective vaccine. Given current raw material prices, it
costs $10 to produce each dose of vaccine.
Assume that Pcoria has 100 citizens, and that the demand for vaccine in the first time
period is
Q=100
where P is vaccine price and y is disease prevalence.
a Assume a competitive vaccine manufacturing market and a disease prevalence of
20% (y = 0.2). How many citizens demand the vaccine this period?
b After this initial round of vaccinations, demand for the vaccine plummets
because many citizens have been vaccinated and do not need another vaccine.
Among the unvaccinated population, demand is now
P
Q= 50 –
The fictitia outbreak has slowed down considerably but the prevalence is still ris-
ing. Now assume y=0.25. How many unvaccinated citizens will demand vaccine
this period?
c The demand for vaccine in the third period Q= 40 – P/y. Because of the suc-
cess of the vaccination campaign, dise ase prevalence is now 10%. How many
unvaccinated citizens demand vaccine this period?
d What does the price need to be for everyone to vaccinate?
e The Pcorian parliament appropriates funds for a vaccine subsidy in an attempt
to wipe out fictitia once and for all. If they subsidize manufacturers by the full
production cost of the vaccine, what price will consumers face? Will everyone
decide to vaccinate?
Transcribed Image Text:16 Eradication of a disease with a vaccine subsidy. A terrible disease called fictitia is ravaging the woebegone nation of Pcoria. Fortunately, government scientists have just discovered the formula for an effective vaccine. Given current raw material prices, it costs $10 to produce each dose of vaccine. Assume that Pcoria has 100 citizens, and that the demand for vaccine in the first time period is Q=100 where P is vaccine price and y is disease prevalence. a Assume a competitive vaccine manufacturing market and a disease prevalence of 20% (y = 0.2). How many citizens demand the vaccine this period? b After this initial round of vaccinations, demand for the vaccine plummets because many citizens have been vaccinated and do not need another vaccine. Among the unvaccinated population, demand is now P Q= 50 – The fictitia outbreak has slowed down considerably but the prevalence is still ris- ing. Now assume y=0.25. How many unvaccinated citizens will demand vaccine this period? c The demand for vaccine in the third period Q= 40 – P/y. Because of the suc- cess of the vaccination campaign, dise ase prevalence is now 10%. How many unvaccinated citizens demand vaccine this period? d What does the price need to be for everyone to vaccinate? e The Pcorian parliament appropriates funds for a vaccine subsidy in an attempt to wipe out fictitia once and for all. If they subsidize manufacturers by the full production cost of the vaccine, what price will consumers face? Will everyone decide to vaccinate?
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