Please answer all the $8$ questions below from business analytics subject and give me correct answer options$-$

Q$1)$ Using the below model information find out the value of the objective function

MAX Z$=12$X$1+20$X$2+25$X$3$ subject to $4$X$1+12$X$2+13$X$3<=115,$

$5$X$1+2$X$2+3$X$3<=415,4$X$1+13$X$2+2$X$3<=212,$ X$1,$X$2,$X$3>=0$

a$)90,$ b$)95$ c$)105$ d$)$ none

Q$2)$ with reference to question $8,$ if objective function coefficients will change to $13,14$ and $15$ and rest are constant, what will happen to objective function value?

a$)150$ b$)145$ c$)125$ d$)$none

Q$3)$ Comparing Q$1$ and Q$2$ what is the change of values of X$1$ variable?

a$)$ increase by $5$ b$)$decrease by $15$ c$)$ increase by $12$ d$)$ none

Q$4)$ Corresponding to Q$1$ if the right hand constraints will change to $50,60,$ and $70$ respectively, and rest are constant, what is the optimal value of Z$?$

a$)320$ b$)420$ c$)425$ d$)$none

Q$5)$ Corresponding to Q$1$ if drop third constraint and rest are constant what is the optimal value of Z$?$

a$)130$ b$)140$ c$)220$ d$)$ none

Q$6)$Corresponding to Q$1$ if we add a new constraint $12$X$1-10$X$2<=235$ and rest are constant what is the optimal value of Z$?$

a$)352$ b$)450$ c$)500$ d$)$none

Q$7)$Corresponding to Q$1$ if we add a new constraint $20$X$1+30$X$2>=415$ and rest are constant what is the optimal value of Z$?$

a$)455,$ b$)440$ c$)450$ d$)$ none

Q$8)$orresponding to Q$1$ if we add a new constraint $4$X$1+4$X$2+4$X$3<=445$ and rest are constant what is the optimal value of Z$?$

a$)535$ b$)540$ c$)550$ d$)$ none