A company sells running shoes. If the price of shoes. If the price of shoes in dollars is p the company estimates that it will sell 50,000-40p pairs of shoes. Write an expression that represents the revenue in dollars from selling running shoes if a pair of shoes is price at p dollars

Respuesta :

Answer:

The revenue from selling a pair of running shoes at p dollars per pair is 50,000p - p^2

Step-by-step explanation:

Here in this question, we are interested in writing an equation that represents the revenue from selling a number of shoes.

Mathematically;

Revenue = Number of shoes sold * Price of one shoe

From the question, the number of shoes sold at price P dollars is 50,000 - 40p

The price of a single pair is P dollars

So the revenue in this case will be ; p * (50,000 - 40p)

= (50,000p - 40p^2) dollars

The expression that represents the revenue in dollars is [tex](50000p-40p^{2} )[/tex]

Algebraic expression :

We have to find an expression  that represents the revenue in dollars

So that,

            Revenue = Number of shoes sold * Price of one shoe

It is given that the number of shoes sold at price P dollars is [tex](50000 - 40p)[/tex]

and the price of a single pair is P dollars

Thus,  the revenue expression is,

                                [tex]= p * (50000 - 40p)\\\\=50000p-40p^{2}[/tex]

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