Question

Linear Algebra

Tha conta nar of a brea ast ceroa us saly sts the number of calores and tha an ounts o pr tan cartchydrata and Mt contained n one sarvn ha ceraal The amounts for wa cerna s are gnan n te data tabe uppose a m tre o these care als is to be pre rad that comans act 375 calo as 10 g of protan o 1 g ofcartohydrate, and 12 g of fat. Use this infarmation to answer parts (a) andb

375 Calories, 10g Proteins, 71 Carbs, and 12 g of fat

Answer 1

To setup a vector equation for given problem [100 5 21 2]x _1 +[110 2 20 4]x _2 = [375 10 71 12] where x _1 = number of servings for cereal A x _2 = number of servings for cereal B. implies [100x _1 5x _1 21x _1 2 x _1] +[110x _2 2x _2 20x _2 4x _2] = [375 10 71 12] implies [100x _1 + 110x _2 5x _1 + 2x _1 21x _1 + 20x _2 2x _1 + 4x _2] = [375 10 71 12] implies [100 110 5 2 21 20 2 4] [x _1 x _2] = [375 10 71 12] which is of the form A^vector X^vector = b^vector where A^vector = [100 110 5 2 21 20 2 4] , x^vector = [x _1x _2] , b^vector = [375 10 71 12] which is the required vector