Jax was in a terrible snowboarding accident and was out of work for $6$ months. It was quite the struggle for him as he was on disability leave from his employment. His employer was a small business and did not have disability insurance, so while no income was coming in$,$ his monthly bills and expenses continued along with the significant physiotherapy bills. When Jax was finally able to return to work, he was determined to ensure that he had a sufficient emergency fund set aside. Jax's disposable after$-$tax income is $$75,100.$ Prior to the accident Jax always saved $$600/$month for a big trip each year for snowboarding in Colorado while everything else covered his expenses.

Jax knows that financial planners recommend savings to cover $3$ to $6$ months' worth of expenses for an emergency fund. Under this recommendation, what is the maximum emergency fund Jax should have?

Select one:

a$.$

$$37,550$

b$.$

$$41,150$

c$.$

$$33,950$

d$.$

$$18,775$

e$.$

$$16,975$