Question

Amanda owns a clothing store that sells graphic t-shirts. n is the number of shirts she sells each month. the revenue function of her store is r = 25n. the cost function of her store is c = 10n + 900. using your calculator, what is the break-even point of amanda's store?

Answer 1

n = 60 shirts

Explanation:

The break-even point is the point where revenue is equal to cost. This means we take the equation for revenue, r = 25n, and set it equal to the equation for cost, c = 10n + 900:

25n = 10n + 900

Subtract 10n from each side:

25n - 10n = 10n + 900 - 10n

15n = 900

Divide both sides by 15:

15n/15 = 900/15

n = 60

Answer 2

The break-even point will be attained when the revenue is equal to the cost. That is

`25n=10n+900`

`25n-10n=900`

`15n=900`

`n=60`

The break-even point is attained when n equals 60.