ABC limited purchases 4000 liter of AGO (diesel) each year from a single supplier at the moment the company obtains the products in batch sizes of 1000 liters the product costs 24 naira per liter and cost of ordering a new batch from one liter in stock due to logistics problems is 6 naira per annum plus an interest cost equal to 20% of the purchase price of the product required.

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]