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

Answer:

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

Step-by-step 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