Consider the following integer linear programming problem:

Max Z $=$ x$1+6$x$2$

Subject to:

$17$x$1+8$x$2136$

$3$x$1+4$x$236$

x$1,$ x$20$ and integer

What is the value of the objective function at the optimal solution?

Hint: develop a simple integer programming model in Excel to solve this problem.