Explain the behavior of the function


Discuss the below:

Q: Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu

C(x)=130x /100-x

a) Sketch the rational function showing only the regions of the curve that are relevant in the context of this problem (ie. an appropriate domain)

b) Explain the behavior of the function around its vertical asymptote using the appropriate mathematical symbols. Explain what this asymptote represents in the context of this problem

c) In order to reasonably utilize the available health care resources a decision on a cost-benefits basis must be made as the % of the population that will be inoculated. What is a reasonable percentage? Explain and justify your decision.

 

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Engineering Mathematics: Explain the behavior of the function
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