A decision problem has the following three constraints: $8$X $+40$Y $<=320$; $6$X $+19$Y$=114$; and $17$X $-$ Y $<=288\mathrm{.}36841.$ The objective function is Min $21$X $+14$Y $.$ The objective function value is :

a$.$

$365\mathrm{.}8421$

b$.$

$0$

c$.$

$731\mathrm{.}6842$

d$.$

infeasible

e$.$

unbounded