$.$ Save$-$on$-$Foods, part of Overwaitea Food Group, tracks customers purchase behavior when they use their save$-$on$-$more card. When customers use their more card, they gain points and savings on some products. With points gained, customers are able to redeem them and have reduced price in particular grocery products. Also, customers have the chance to buy household small appliances using accumulated points. In an effort to measure the effectiveness of the marketing efforts targeted to its customers, Save$-$on$-$foods wants to know the profit potential that each typical customer can generate. Using data in archives and marketing forecasts, the company estimates that a typical customer will generate increasing sales revenues as well as costs as indicated in the following table. The variable costs include those related to marketing efforts. The churn rate is about $25\%$ annually. Save$-$on$-$foods wants to know the lifetime value of a typical customer, assuming a typical discount rate of $14\%.$