Solve the problem $($goal programming$)(15$ points$)$

A company produces two products, where the labor and profit are:

The company incurs a penalty of $1$$ for each dollar it falls short of the profit. A $2$$ penalty is incurred for

each hour of overtime, and a $1$$ penalty is incurred for each hour of labor that is not used. A penalty of

$5/$unit is assessed for any shortfall in meeting demand.