sams swimming pool cleaning has an annual gross profit of $88,400. sam charges $25 per week for each of his…

sams swimming pool cleaning has an annual gross profit of $88,400. sam charges $25 per week for each of his customers for 52 weeks. his annual operating expenses, including labor and supplies, are $48,000. how many customers does sams swimming pool cleaning have?\na. 17\nb. 35\nc. 105\nd. 68\nplease select the best answer from the choices provided\no a\no b\no c\no d

sams swimming pool cleaning has an annual gross profit of $88,400. sam charges $25 per week for each of his customers for 52 weeks. his annual operating expenses, including labor and supplies, are $48,000. how many customers does sams swimming pool cleaning have?\na. 17\nb. 35\nc. 105\nd. 68\nplease select the best answer from the choices provided\no a\no b\no c\no d

Answer

Explanation:

Step1: Calculate total annual revenue

Let the number of customers be $x$. The revenue per customer per year is $25\times52$ dollars. So the total annual revenue $R = 25\times52x$.

Step2: Use the profit - formula

Profit $P=R - E$, where $P = 88400$ (gross profit) and $E = 48000$ (operating expenses). So $R=P + E$. Then $25\times52x=88400 + 48000$.

Step3: Simplify and solve for $x$

First, calculate $25\times52=1300$. The equation becomes $1300x=136400$. Then $x=\frac{136400}{1300}=105$.

Answer:

C. 105