The Byte Computer Company Produces Two Models of Computers, Plain

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces a limited demand. There are a limited number of wiring, assembly and inspection hours available next month. The data for this problem is summarized in the following table.
$\begin{array} { l c c c c c } &&\text { Maximum } &&\text { Assembly }&\text { Inspection } \\\text { Computer } &\text { Profit per }&\text { demand for }&\text { Wiring Hours } &\text { Hours } &\text { Hours } \\\text { Model }&\text { Model (\$)}&\text { product }&\text { Required }&\text { Required }&\text { Required }\\\hline \text { Plain } & 30 & 80 & .4 & .5 & .2 \\\text { Fancy } & 40 & 90 & .5 & .4 & .3 \\\hline & & \text { Hours Available } & 50 & 50 & 22\end{array}$

a.
Formulate the LP model for this problem.
b.
Solve the problem using the graphical method.