Answer: The required average is $576.
Step-by-step explanation:
Since we have given that
Percent of customers not returning each year = 25%
Average customer lifetime = ![\dfrac{1}{0.25}=4\ years](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B0.25%7D%3D4%5C%20years)
Percent of margin on the average bill = 60%
Cost per visit = $12
Number of times each year visited = 20 times
So, Average expense by each customer per year = ![12\times 20=\$240](https://tex.z-dn.net/?f=12%5Ctimes%2020%3D%5C%24240)
Average margin = 60% of 240 = ![0.6\times 240=\$144](https://tex.z-dn.net/?f=0.6%5Ctimes%20240%3D%5C%24144)
Average non discounted gross profit during a customer's lifetime is given by
![144\times 4=\$576](https://tex.z-dn.net/?f=144%5Ctimes%204%3D%5C%24576)
Hence, the required average is $576.