Consider the LP problem:

$$Maximize $71+827$X$1+8$X$2$

subject to $14$;$120,1,20.$X$14$;X$1$X$20,$X$1,$X$20.$

$$The objective function corresponding to the optimum solution is $\_\_\_\_\_\_\_$

$($Hint: Write your answers to the nearest integer number$)$

answer