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Determine all critical points of the given function if there are any. Make sure to determine the domain. Show the complete solution.
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- You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget spinners, is it possible to make more than $40 in profit? Is it possible to have a loss of more than $10,000,000,000?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) = 1.85 x / 100-x Suppose 17 million dollars are available for providing immunization.What percentage of the susceptible population will not receive immunization?R(x)=200x−2x2; C(x)=−x2+50x+4400; 0≤x≤100 how many units must the manufacture produce to break even?
- 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?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?The revenue from selling x units of a product us given by y = -0.004x^2+80x. How many units must be sold to have the greatest revenue?