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A utility company has a small power plant that can produce a kilowatt hours of electricity daily at a cost of 10 - (𝑥/10^5) cents each for 0 < x < 8 x 10^5. Consumers will use 10^5(10 - p/2) kilowatt hours of electricity daily at a price of p cents per kilowatt hour. What price should the utility charge to maximize its profit?

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    $\begingroup$ Please, so your efforts. Otherwise it looks you're asking some body to do your home work. $\endgroup$
    – Ripi2
    Commented Jan 27, 2021 at 0:29
  • $\begingroup$ Start by coming up with an equation that yields the profit in terms price. Then, how do you take an equation and find the maximum value? $\endgroup$
    – johnnyb
    Commented Jan 27, 2021 at 1:02

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