rabbits in a lab are to be kept on a strict daily diet that includes 30 grams of protein, 16 grams of fat, and 24 grams of carbohydrates. The scientist has only three food mixes available with grams of nutrients er unit given in the table below. Find how many units of each are needed daily to meet each rabbit’s dietary need. Table: Mix A 4 Protein, 6 fat 3 carb. Mix b 6 protein, 1 fat 2 carb. Mix c 4 protein, 1 fat and 12 carb.
Let, x units of mix A, y units of mix B, and z units of mix C are required.
The total amount of protein available from this configuration = 4x + 6y+ 4z, which has to be equal to 30. Therefore,
4x + 6y + 4z = 30 (1)
Similiarly, for fat, we get,
6x + y + z = 16 (2)
And, for carbohydrates, we get,
3x + 2y + 12z = 24 (3)
Solving these three equations,
x=2 , y=3 , z=1