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? 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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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?

  • 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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