Eastern Motors Auto Dealership wanted to estimate the average CLV over a $5$ year time horizon of a customer who purchases a new vehicle. The average vehicle sells for $$23,000$ and has a margin of $8\%.$ Based on historical averages, $84\%$ of people buying a new vehicle at Eastern will return for service $11$ times over the next $5$ years. Though it varies considerably, Eastern generates approximately $$99$ in margin on each service visit after accounting for parts and direct labor costs.

What would be the value of a service loyalty program that increased the average number of visits by $2($over $5$ years$)$ and increased the probability that a new vehicle purchaser would return for service by $5$ percentage points $($e$.$g$.$ from $75\%$ to $80\%)$ on a per customer basis?