<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B15x%5E%7B2%7Dy%20%7D%7B8x%7D%20%29%28%5Cfrac%7B4y%7D%7B9xy%7D%20%29" id="TexFormu

3 years ago

la1" title="(\frac{15x^{2}y }{8x} )(\frac{4y}{9xy} )" alt="(\frac{15x^{2}y }{8x} )(\frac{4y}{9xy} )" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

The simplified expression is 5y / 6

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The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the fir

faltersainse [42]

Answer:

$5144$

$12$

Step-by-step explanation:

The function $p=x^2-24x+5000$ is incorrect as its roots are imaginary $b^2-4ac=576-4\times 5000=-19424$ .

So, the correct function is

$p=-x^2+24x+5000$

Differentiating with respect to $x$ we get

$p'=-2x+24$

Equating with zero

$0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12$

Double derivative of the function

$p''=-2$

So, the function is maximum at $x=12$

Maximum profit is

$p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144$

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The number of clients required to make the maximum profit is $12$ .

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RideAnS [48]

Answer:

$74315.50

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Answer: there is no N in the equation

Step-by-step explanation:

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