SymeonK709704 SymeonK709704
  • 04-11-2022
  • Mathematics
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Find the revenue if 18 units are sold. Round to two decimal places.

Find the revenue if 18 units are sold Round to two decimal places class=

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EsamX19045 EsamX19045
  • 04-11-2022

The revenue function is:

[tex]R(x)=x\cdot p(x)[/tex]

where p(x) is given by:

[tex]p(x)=27(5)^{\frac{-x}{6}}[/tex]

For x=18, you obtain for p(x):

[tex]p(18)=27(5)^{-\frac{18}{6}}=27(5)^{-3}=\frac{27}{125}[/tex]

Then, for R(x):

[tex]R(18)=18\cdot p(18)=18\cdot\frac{27}{125}\approx3.89[/tex]

Then, if 18 units are sold the revenue is approximately 3.89 dollars.

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