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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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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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