Given the following linear programming model, answer the questions that follow. You are given the result of a computer program. The results are

Maximize $12$ X$1+18$ X$2+15$ X$3$

Subject to:

Machine Constraint: $3$ X$1+4$ X$2+3$ X$3<160$

Labor Constraint: $6$ X$1+10$ X$2+4$ X$3<288$

Materials Constraint: $2$ X$1+2$ X$2+7$ X$3<200$

Product $2$ Constraint: X$1<16$

What is the optimal solution?