escarleth8526 escarleth8526
  • 19-02-2020
  • Business
contestada

​ If the quantity sold of two-liter Coke bottles increases by 10% when price falls by 2%, what is the total change in revenue?

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pedrocarratore
pedrocarratore pedrocarratore
  • 20-02-2020

Answer:

7.8% increase in revenue

Explanation:

Revenue is given by the number of units sold 'n' multiplied by the price of sale 'P'. The revenues before and after the price drop are:

[tex]R_{old} = P*n\\R_{new} = (1-0.02)P*(1+0.1)n=1.078P*n[/tex]

The change in revenue is given by:

[tex]R_{new} = 1.078R_{old}\\\Delta R=1.078-1 = 0.078 = 7.8\%[/tex]

Therefore, there was a 7.8% increase in revenue when price falls by 2%.

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