2. A ranch needs to feed its cattle. The ranch purchases three different feeds at different costs. These feeds have different amounts of nutrients. When blended the blend must meet daily nutrient requirements. Observe the table below for relevant Data.

Nutritional Requirement

		Nutrient in ounces per Pound of feed			Monthly	Monthly
	Nutrient	Feed 1	Feed 2	Feed 3	Minimum	Maximum
	A	3 oz/lb	2	4	4 lbs/cow	8 lbs/cow
	B	3	1	3	5 lbs	10 lbs
	C	1	0	2	1 lbs	2 lbs
	D	6	8	4	8 lbs	16 lbs
	Cost per pound	$4	$2.5	$3

In addition, the ranch must meet two more restrictions.

• The ranch has not more than 15 pounds of each feed available per cow monthly.
• The ranch will spent on buying Feed 1 10% more than what is spent on Feed 2 and Feed 3 combined.

Note that there are 16 ounces per pound!

Set up a linear programming model that meets the nutritional requirements using the amounts of feeds available at minimum cost.