Given this linear programming model, solve the model and then answer the questions that follow.

Maximize $,12x_1+18x_2+15x_3$ where $x_1=$ the quantity of product $1$ to make etc.

subject to

$\backslash$table$[[$Machine$,5x_1+4x_2+3x_3,160$ minutes$],[$Labor$,4x_1+10x_2+4x_3,28$ hours$],[$Materials$,2x_1+2x_2+4x_3,200$ pounds$],[$Product $2,,x_{2}16$ units$],[,,x_1,x_2,x_{3}0$