Agri-Pro is a company that sells agricultural products to farmers in a number of states. One service it provides to customers is custom feed mixing, whereby a farmer can order a specific amount of livestock feed and specify the amount of corn, grain and minerals the feed should contain. This is an important service because the proper feed for various farm animals changes regularly depending on the weather, pasture condition, and so on.
Agri-Pro stocks bulk amounts of four types of feed that it can mix to meet a given customer's specifications. The following table summarizes the four feeds, their composition of corn, grain, and minerals, and the cost per pound for each type.
|
Percent of Nutrient in
|
|
Nutrient
|
Feed 1
|
Feed 2
|
Feed 3
|
Feed 4
|
|
Corn
|
30%
|
5%
|
20%
|
10%
|
|
Grain
|
10%
|
30%
|
15%
|
10%
|
|
Minerals
|
20%
|
20%
|
20%
|
30%
|
|
Cost per pound
|
$ 0.25
|
$ 0.30
|
$ 0.32
|
$ 0.15
|
Agri-Pro has just received an order from a local chicken farmer for 8,000 pounds of feed. The farmer wants this feed to contain at least 20% corn, 15% grain, and 15% minerals. What should Agri-Pro do to fill this order at minimum cost?