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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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(b) 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?

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