During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x 100−xmillion dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization.What percentage of the susceptible population will not receive immunization?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.EA: Extended Application A Model For Drugs Administered Intravenously
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During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population
would be approximately C(x) = 1.85x
100−xmillion dollars.
(i) What would it cost to providing immunization to the first 20% of the susceptible population?
(ii) What would it cost to providing immunization to the next 30% of the susceptible population?
(iii) Suppose 17 million dollars are available for providing immunization.What percentage of the susceptible population will not receive immunization?
(iv) If money was not a problem will they be able to providing immunization to the entire susceptible population?
(c) Determine the values of x for which the function f(x) ={2x2 −4
x<2 x+2 2<x>5 7 x≥5
is discontinuous.

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