$1.$ A manager wants to know how many units of each product to produce on a daily basis in order to achieve the highest possible profit. The manager manages three products $\backslash ((\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\}\backslash ),$ and C$\backslash ()\backslash )$ that require input from two material types $($M$1$ and M$2)$ along with labor. The material and Labor requirements for the products are shown in the following table Example: Product A uses $2$ pounds of M$1,3$ pounds of M$2$ and $3\mathrm{.}2$ hours of Labor M$1$ costs $\backslash (\backslash$$ $5/\backslash )$ pound, while M$2$ costs $\backslash (\backslash$$ $4/\backslash )$ pound and finally, labor cost is $\backslash (\backslash$$ $10/\backslash )$ hour. Product A sells for $\backslash (\backslash$$ $80\backslash ),$ B for $\backslash (\backslash$$ $90\backslash ),$ and C for $\backslash (\backslash$$ $70\backslash )($per unit$).$ The daily available resources are $200$ pounds of M$1,300$ pounds of M$2,$ and $150$ hours of Labor. The manager is required to produce daily a minimum of $10$ units of each product. A$.($Excel model$)$ Formulate and solve an Excel optimization problem to obtain the optimal $($daily$)$ production plan.