Bluegrass Farms has been experimenting with a special diet for its racehorses. The feed components available for the diet are a standard horse feed product, a vitamin-enriched oat product, and a new vitamin and mineral feed additive (detail below). The minimum daily diet requirements for each horse are 3 units of ingredient A, 6 units of ingredient B, and 4 units of ingredient C. In addition, to control the weight of the horses, the total daily feed for a horse should not exceed 6 pounds. Bluegrass would like to determine the minimum-cost mix that will satisfy the daily diet requirements.

Ingredients [in units] to Produce One Pound of Special Diet Feed Component Standard Enriched Oat Additive Ingredient A 0.8 0.2 0.0 Ingredient B 1.0 1.5 3.0 Ingredient C 0.1 0.6 2.0 Cost Per Pound $0.25 $0.50 $3.00