A mortgage applicant who has a monthly gross income of $$4,770$ applies for a mortgage with monthly PITI of $$1,669\mathrm{.}50.$ The applicant's other financial obligations total $$281\mathrm{.}43$ per month. $($Use the ratio guidelines from your text$)$ What type of mortgage, if any, would the applicant qualify for?

a$)$ FHA only

b$)$ Conventional only

C$)$ FHA and Conventional

d$)$ none