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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?

Respuesta :

Mamasu
The break-even point will be attained when the revenue is equal to the cost. That is 
     [tex]25n=10n+900[/tex]
     [tex]25n-10n=900[/tex]
     [tex]15n=900[/tex]
     [tex]n=60[/tex]

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

Answer:

n = 60 shirts

Step-by-step 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

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