Solve with Excal $1.(4)$Two different products, $\backslash ($ P $1\backslash )$ and $\backslash ($ P $2\backslash ),$ can be manufactured by one or both of two different machines, $\backslash ($ M $1\backslash )$ and $\backslash ($ M $2\backslash ).$ The unit processing time of either product on either machine is the same. The daily capacity of machine $\backslash ($ M $1\backslash )$ is $200$ units $($of either $\backslash ($ P $1\backslash )$ or $\backslash ($ P $2\backslash ),$ or a mix of both$),$ and the daily capacity of machine $\backslash ($ M $2\backslash )$ is $250$ units. The shop supervisor wants to balance the production schedule of the two machines such that the total number of units produced on one machine is within $5$ units of the number produced on the other. The profit per unit of $\backslash ($ P $1\backslash )$ is $\backslash (\backslash$$ $10\backslash )$ and that of $\backslash ($ P $2\backslash )$ is $\backslash (\backslash$$ $15\backslash ).$ Set up the problem as an LP in equation form.