The Happy Pet Pet Food Company Produces Dog and Cat

Essay

The Happy Pet pet food company produces dog and cat food.Each food is comprised of meat,soybeans and fillers.The company earns a profit on each product but there is a limited demand for them.The pounds of ingredients required and available,profits and demand are summarized in the following table.The company wants to plan their product mix,in terms of the number of bags produced,in order to maximize profit.
$$\begin{array} { l c c c c c } \hline & \begin{array} { c } \text { Prafit per } \\\text { Bag } 5 \text { ) }\end{array} & \begin{array} { c } \text { Demand for } \\\text { product }\end{array} & \begin{array} { c } \text { Pounds af } \\\text { Meat per bag }\end{array} & \begin{array} { c } \text { Paunds af } \\\text { Soybeans per bag }\end{array} & \begin{array} { c } \text { Paunds af } \\\text { Filler per } \\\text { beg }\end{array} \\\hline \text { Praduct } & 4 & 40 & 4 & 6 & 4 \\\text { Dag faod } & 4 & 30 & 5 & 3 & 10\end{array}$$
Material available pounds)100 120 160
a.Formulate the LP model for this problem.
b.Solve the problem using the graphical method.