Q:

Sophia owns a clothing store that sells graphic T-shirts. n is the number ofshe sells each month. The revenue function of her store is r=21n. Thecost function of her store is C= 16n+ 750. Using your calculator, what is thebreak-even point of Sophia's store?O A. n=16O B. n= 150O c. n=21O D. 3 = 175

Accepted Solution

A:
Answer:n = 150Step-by-step 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)}β‡’ 21n = 16n + 750 β‡’ 5n = 750 β‡’ n = 150 So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)