KanayaP400909 KanayaP400909
  • 25-10-2022
  • Mathematics
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How many books must the publisher produce and sell so that the production cost will equal the money from sales

How many books must the publisher produce and sell so that the production cost will equal the money from sales class=

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MaysinY533050 MaysinY533050
  • 25-10-2022

Step by step explanation:

Assuming x as the number of books, the function of production cost is:

[tex]C(x)=45240+9.25x[/tex]

And the selling price function would be:

[tex]S(x)=25.5x[/tex]

For rhe production cost to be equal to the money from sales we have:

[tex]\begin{gathered} 25.5x=45240+9.25x \\ 25.5x-9.25x=45240 \\ 16.25x=45240 \\ x=\frac{45240}{16.25} \\ x=2784 \end{gathered}[/tex]

Answer:

The publisher must produce 2784 books

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