Maximize Z $=12$x$1+18$x$2+15$x$3$ where x$1=$ the quantity of product $1$ to make, etc.

Subject to:

Machine $5$ x$1+4$ x$2+3$ x$3<=160$ minutes

Labor $4$ x$1+10$ x$2+4$ x$3<=288$ hours

Materials $2$ x $1+2$ x $2+4$ x $3<=200$ pounds

Product $2$ x $2<=16$ units

x $1,$ x $2,$ x $3>=0$