You have been given the following linear programming model and Excel spreadsheet to solve this problem. What numbers should be entered into cells B$5$:C$5$ and B$8$:C$10$ to implement this model?

MAX: $3$X$1+8$X$2$

Subject to: $4$X$1+7$X$2<=90$

$7$X$1+8$X$2<=144$

X$2<=8$

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

A B C D E

$1$

$2$

$3$ X$1$ X$2$

$4$ Number to make: OBJ. FN$.$ VALUE

$5$ Unit profit

$6$

$7$ Constraints: Used Available

$81$

$90$

$92$

$144$

$103$

$8$