Two breakfast cereals named Fauji Cereals and Kisan Cereals give a certain amount of nutrients in one serving. Fauji Cereal gives 110 calories, 4(g) of proteins, 20(g) of carbohyderates, 2(g) of fat while Kisan Cereals gives 130 calories, 3(g) of proteins, 18(g) of carbohyderates, 5(g) of fat respectively. Write a matrix vector equation so that mixture of these two cereals is to be prepared that contains exactly 295 calories, 9(g) of proteins, 48(g) of carbohyderates and 8(g) of fat. Also explain the meaning of unknowns appearing in the equation and solve the system.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two breakfast cereals named Fauji Cereals and Kisan Cereals give a certain amount of nutrients in one serving. Fauji Cereal gives 110 calories, 4(g) of proteins, 20(g) of carbohyderates, 2(g) of fat while Kisan Cereals gives 130 calories, 3(g) of proteins, 18(g) of carbohyderates, 5(g) of fat respectively. Write a matrix vector equation so that mixture of these two cereals is to be prepared that contains exactly 295 calories, 9(g) of proteins, 48(g) of carbohyderates and 8(g) of fat. Also explain the meaning of unknowns appearing in the equation and solve the system.

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