What is the $$objective function of the corresponding model$$ based on the linear programming model shown below?

Max Z $=$ X$1-2$ X$2$

Sub. To

X$1+4$X$2=8$

$2$X$1-4$ X$2<=4$

X$1,$ X$2>=0$

Select one:

a$.$ Min WBY$1-8$ Y$2+4$ Y$3$

b$.$ Max W$8$Y$1+4$ Y$2$

c$.$ Max W $=$ BY$1-8$ Y$2+4$ Y$3$

d$.$ Min W$8$Y$1+4$ Y$2$