A Linear programming problem has the following three constraints: $43$X $+16$Y $<=688$; $16$X $+14$Y$=224$; and $17$X $-$ Y $<=147\mathrm{.}286.$ The objective function is Min $5$X $+16$Y $.$ What combination of X and Y will yield the optimum solution for this problem?

a$.$

$9,5\mathrm{.}71429$

b$.$

$14,0$

c$.$

$0,16$

d$.$

infeasible problem

e$.$

unbounded problem