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 − x million 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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 − x million 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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