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A company that produces cell phones has a cost function of $C = 22x^2 - 524x + 16025$, where $C$ is the cost in dollars and $x$ is the number of cell phones produced (in thousands). How many units of cell phone (in thousands) minimizes the cost function?

          A company that produces cell phones has a cost function of $C = 22x^2 - 524x + 16025$, where $C$ is the cost in dollars and $x$ is the number of cell phones produced (in thousands). How many units of cell phone (in thousands) minimizes the cost function?
        
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A company that produces cell phones has a cost function of C = 22x^2 - 524x + 16025, where C is the cost in dollars and x is the number of cell phones produced (in thousands). How many units of cell phone (in thousands) minimizes the cost function?

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Question2 0/1p Acompany that produces cell phones has a cost function of C=22-524+16025.where Cis the cost in dollars and is the number of cell phones produced in thousands. How many units of cell phone (in thousands) minimizes the cost function? thousand phones produced will minimize C Submit Question
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Transcript

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00:01 In this question it is given that c is equals to 25 x squared negative 281x plus 515 where c is cost function and here x is number of cell phone produced.
00:38 So here we need to find unit cell phone that minimizes the cost function.
01:13 So for this, consider the given function that is cx is equals to 25x2 .812 plus 281x plus 515.
01:33 So here differentiate with respect to x and we get c dash x is equals to 25 is multiplied to 2.
01:44 Here we have x negative 281...
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