The company would like to feed the dog at minimum cost while also ensuring each dog receives an adequate supply of calories and nutrients. The cost, calorie content, and nutrient content of each feed is as follows:

Contents	Dog 1	Dog 2
Calories (per pound)	800	1,000
Nutrients (per pound)	140 units	70 units
Cost (per pound)	$0.40	$0.80

Each dog requires a minimum of 8,000 calories per day and at least 700 units of nutrients. A further constraint is that no more than 1/3 of the diet (by weight) can consist of Dog 1, since it contains an ingredient that can be toxic if consumed in too large of a quantity.