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A florist currently sells 49000 bouquets per year at a cost of 10 dollars each. In the previous year when they raised the price to 14 dollars, they only sold 35000 bouquets that year. Assuming the amount of bouquets sold is in a linear relationship with the cost, what is the maximum revenue?

Respuesta :

Poltergeist

Answer:

490000 dollars.

Step-by-step explanation:

Revenue [tex]R[/tex] is equal to the number of bouquets sold [tex]N[/tex] multiplied by the price per bouquet [tex]P[/tex]:

[tex]R=NP.[/tex]

For 49000 bouquets sold at 10 dollars each, the revenue is:

[tex]R=49000*10=\boxed{490000\:dollars}.[/tex]

For 35000 bouquets sold at 14 dollars each, the revenue is:

[tex]R=35000*14=\boxed{490000\:dollars}.[/tex]

Thus the maximum revenue is 49000 dollars.

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