Downtown Health Clinic needs to order influenza vaccinesfor the next flu season. The Clinic charges its patients $15.00per vaccination and each dose of vaccine costs the clinic$4.00 to purchase. The Center for Disease Control has a longstanding policy of buying back unused vaccines for $1.00 perdose. The Clinic estimates the following probability distribu-tion for the season’s demand:Demand Probability2,000         0.053,000         0.204,000         0.255,000         0.406,000         0.10 a. How many vaccines should the Clinic order to maximizeits expected profit?b. The Clinic is trying to determine if they should participatein a new Federal program in which the cost of each dose isreduced to $2.00. However, to participate in the program,they can charge no more than $10.00 per vaccine. Onstrictly a profit maximizing basis, should the Clinic agreeto participate?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Downtown Health Clinic needs to order influenza vaccines
for the next flu season. The Clinic charges its patients $15.00
per vaccination and each dose of vaccine costs the clinic
$4.00 to purchase. The Center for Disease Control has a long
standing policy of buying back unused vaccines for $1.00 per
dose. The Clinic estimates the following probability distribu-
tion for the season’s demand:
Demand Probability
2,000         0.05
3,000         0.20
4,000         0.25
5,000         0.40
6,000         0.10

a. How many vaccines should the Clinic order to maximize
its expected profit?
b. The Clinic is trying to determine if they should participate
in a new Federal program in which the cost of each dose is
reduced to $2.00. However, to participate in the program,
they can charge no more than $10.00 per vaccine. On
strictly a profit maximizing basis, should the Clinic agree
to participate?

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