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:
4 chairs.
Step-by-step 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 @@MATH_TOKEN_0@@.
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.
\(65x>45x+75\)
\(65x-45x>45x-45x+75\)
\(20x>75\)
\(\frac{20x}{20}>\frac{75}{20}\)
\(x>3.75\)
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.