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.

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State Farm Supply Percent of Nutrient in: Feed 2 20 10 30 1.50 $600 Minimum Reg'd Amt Feed 1 15 20 20 Feed 3 30 10 15 0.75 $550 Feed 4 15 15 20 0.50 $450 Nutrient Protein Carbohydrate 18 12 20 Fat Vitamin Cost/1,000 lbs $500