State Farm Supply Has Just Received an Order for 10,000

State Farm Supply has just received an order for 10,000 pounds of chicken feed.The farmer has specified certain that the feed meet minimum requirements for Protein,Carbohydrate,Fat and Vitamins.State Farm can blend four different feeds to produce the required mix.The farmer would like to pay the lowest possible price for the feed.The data for the problem is summarized in the following table.
State Farm Supply
Percent of Nutrient in: Minimum
$$\begin{array} { l c c c c c } \text { Nutrient } & \text { Feed } 1 & \text { Feed 2 } & \text { Feed 3 } & \text { Feed 4 } & \text { Req'd Ant } \\\hline \text { Pratein } & 15 & 20 & 30 & 15 & 18 \\\text { Carbahydirate } & 20 & 10 & 10 & 15 & 12 \\\text { Fat } & 20 & 30 & 15 & 20 & 20 \\\text { Vitamin } & 1 & 1.50 & 0.75 & 0.50 & 1 \\\hline \text { Cast'1,000 lbs } & \$ 500 & \$ 600 & \$ 550 & \$ 450 &\end{array}$$
Formulate the LP for this problem.