Question

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

Answer 1

The revenue R from selling running shoes at price p is given by the expression R = 50,000p - 40p^2, representing the product of the price per pair and the quantity sold.

Step-by-step explanation:

To write an expression that represents the revenue from selling running shoes priced at p dollars, you need to multiply the price p by the number of pairs sold, which is given by the expression 50,000 - 40p. Therefore, the revenue R can be represented by the following expression:

R = p × (50,000 - 40p)

To expand this expression, we use the distributive property:

R = 50,000p - 40p^2

This formula tells us the total revenue for a given price p. The revenue is the product of the price per pair of shoes and the estimated number of pairs sold, which decreases as the price increases.

Answer 2

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