The profit function for two products is

Profit $523$x$2$

$1142$x$123$x$2$

$2148$x$21700$

where x$1$ represents units of production of product $1$ and x$2$ represents units of production

of product $2.$ Producing one unit of product $1$ requires $4$ labor$-$hours and producing one unit

of product $2$ requires $6$ labor$-$hours. Currently, $24$ labor$-$hours are available. The cost of

labor$-$hours is already factored into the profit function. However, it is possible to schedule

overtime at a premium of $$5$ per hour