Maximize and minimize functions 3.The owner of a soda factory knows that his profit in thousands of dollars per week, as a function of the number x of cases of soda sold, is given by the equation ? = ―0.02?2 + 9? ― 1196. a.How many boxes must be sold weekly for maximum profit? b. What is the maximum profit? 4. For a certain company, the monthly profits obtained by investing x dollars a month in advertising are given by. How much should ? = ―0.10?2 + 500? ―26,700 spend in advertising to maximize their profits? 5. The effectiveness of a television commercial depends on how many times a person watches it. After some experiments, an advertising agency found that if E effectiveness is measured on a scale of 0 to 10, ?(?)=3/5?―1/70?2 then where p is the number of times a person sees a given commercial. For an ad to be most effective, how many times must a person see it?
Maximize and minimize functions
3.The owner of a soda factory knows that his profit in thousands of dollars per week, as a function of the number x of cases of soda sold, is given by the equation ? = ―0.02?2 + 9? ― 1196.
a.How many boxes must be sold weekly for maximum profit?
b. What is the maximum profit?
4. For a certain company, the monthly profits obtained by investing x dollars a month in advertising are given by. How much should ? = ―0.10?2 + 500? ―26,700 spend in advertising to maximize their profits?
5. The effectiveness of a television commercial depends on how many times a person watches it. After some experiments, an advertising agency found that if E effectiveness is measured on a scale of 0 to 10, ?(?)=3/5?―1/70?2 then where p is the number of times a person sees a given commercial. For an ad to be most effective, how many times must a person see it?
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