Margaret's Cutting Station offers a new concept in haircuts; low cost and very quick. Set in a local mall, Margaret's offers $15-$minute haircuts for harried shoppers who do not have time for lengthy appointments. To ensure that the clients are in and out quickly, she schedules her $5$ employees based on expected client traffic. Each of the employees is paid $$1200$ per month, with part of their pay coming from client tips. Margaret pays rent and overhead costs of $$2100$ per month on the facility. Because of the quick nature of the service, Margaret doesn't have time to clean combs in between clients, so she uses a new comb for each customer, at a cost of $$0\mathrm{.}70$ each. She also provides shampoo and conditioner for each client at a cost of $$0\mathrm{.}90$ per client. The average price for a haircut is $$14.$ Margaret pays herself $$5900$ per month. What is Margaret's contribution margin per haircut?

$$12\mathrm{.}40$

$$12\mathrm{.}10$

$$13\mathrm{.}10$

$$3\mathrm{.}30$