Question

Pedro sells wooden children's furniture at a crafts market. he charges $65 for a chair. the materials for a chair cost $45 and there is a $75 dollar fee for a booth at the market. how many chairs must he sell to make a profit?

Answer 1

pedro must sell at least 2 chairs

Answer 2

4 chairs.

Explanation:

Let x represent number of chairs.

We have been given that Pedro charges $65 for a chair, so the revenues earned from selling x chairs would be
`65x`.

We have been given that the materials for a chair cost $45 and there is a $75 dollar fee for a booth at the market. The total cost of making x chairs would be
`45x+75`.

We know that to get a profit the revenues earned from selling x units must be greater than total cost of producing x units.

`65x>45x+75`

`65x-45x>45x-45x+75`

`20x>75`

`(20x)/(20)>(75)/(20)`

`x>3.75`

To make a profit Pedro must sell more than 3.75 chairs. The closest integer to 3.75 is 4, therefore, Pedro must sell 4 chairs to make a profit.