Gary's Shoes and Accessories is attempting to quantify the value of a loyal customer. Al Bundy, Gary's data analyst, has carefully analyzed ten years of data and determined that Gary's customers tend to purchase a new pair of shoes every four years and the customer defection rate is $10\%.$ The contribution margin of most of the shoe lines is $65\%,$ and the revenue for a pair of shoes is $$150.$ What is Gary's value of a loyal customer?

a$.$ $$243\mathrm{.}75$

b$.$ $$131\mathrm{.}25$

c$.$ $$3,900$

d$.$ $$727\mathrm{.}75$