Question

Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The company makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?

Answer 1

The number of gallons must be greater than or equal to 6,500

Explanation:

Let

x -----> the number of gallons of paint need to sell

we know that

The number of gallons multiplied by $10 minus the cost of the new graffiti must be greater than or equal to $50,000

so

The inequality that represent this situation is

`10x-15,000\geq 50,000`

Solve for x

Adds 15,000 both sides

`10x\geq 50,000+15,000`

`10x\geq 65,000`

Divide by 10 both sides

`x\geq 6,500`

The number of gallons must be greater than or equal to 6,500