Question

Sophia owns a clothing store that sells graphic T-shirts. n is the number of

she sells each month. The revenue function of her store is r=21n. The
cost function of her store is C= 16n+ 750. Using your calculator, what is the
break-even point of Sophia's store?
O A. n=16
O B. n= 150
O c. n=21
O D. 3 = 175

Answer 1

n=150

Explanation:

Answer 2

n = 150

Explanation:

If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)

and the cost function of her store is C = 16n + 750 ........ (2)

Now, at break-even point, the revenue of a business is equal to its cost.

Therefore, r = C {From equations (1) and (2)}

⇒ 21n = 16n + 750

⇒ 5n = 750

⇒ n = 150

So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)