Cool Beans is a locally owned coffeeshop that competes with two large coffee chains, PlanetEuro and Frothies. Alicia, the owner, is considering two different marketing promotions and thinks that CLV analysis will help her decide the best course of action. An average specialty coffee drink sells for $$3\mathrm{.}44$ and has a margin of $82\%.$ One promotion is providing loyalty cards to her regular customers that would give them one free specialty coffee drink after $10$ regular purchases. Alicia estimates that this will increase the frequency of their purchases by $20\%.$ Currently, her customers average buying $2$ specialty drinks per week.

The second promotion is targeted at new customers. She would offer a free specialty drink to incoming college freshmen by providing a coupon with their orientation packages. Because of her location near the college, she expects that $560$ students will come to Cool Beans for a free trial. Of those, she anticipates that $17\%$ will become regular customers who will purchase at least one specialty drink each week. The cost of printing and distributing the coupons is $$127.$

What would be the annual cost of the loyalty program?