8. Animal Science A dog breeder finds that certain brands of dog food contain different amounts of three main nutrients, measured in milligrams per serving, as shown in the matrix N. The dog breeder decides to mix the brands in order to give the healthiest feeding mixture possible. Matrix P gives the portion of the mixture for each brand. brands part of mixture W 40% X 10% WX Y nutrient 1 250 480 360 200 nutrient 2 320 510 475 315 = N nutrient 3 180 200 230 155 = P Y 15% z 35% a. Which matrix is defined, NP or PN? Find this b. How many milligrams of nutrient 2 are in a serving of the mixture? matrix

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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8. Animal Science A dog breeder finds that certain brands of dog food contain different amounts of three
main nutrients, measured in milligrams per serving, as shown in the matrix N. The dog breeder decides to
mix the brands in order to give the healthiest feeding mixture possible. Matrix P gives the portion of the
mixture for each brand.
brands
W X
nutrient 1 250 480 360 200
nutrient 2 320 510 475 315 N
nutrient 3 180 200 230 155
part of mixture
W 40%
X 10%
Y
=DP
Y
15%
Z 35%
a. Which matrix is defined, NP or PN? Find this
b. How many milligrams of nutrient 2 are in a
serving of the mixture?
matrix
Transcribed Image Text:8. Animal Science A dog breeder finds that certain brands of dog food contain different amounts of three main nutrients, measured in milligrams per serving, as shown in the matrix N. The dog breeder decides to mix the brands in order to give the healthiest feeding mixture possible. Matrix P gives the portion of the mixture for each brand. brands W X nutrient 1 250 480 360 200 nutrient 2 320 510 475 315 N nutrient 3 180 200 230 155 part of mixture W 40% X 10% Y =DP Y 15% Z 35% a. Which matrix is defined, NP or PN? Find this b. How many milligrams of nutrient 2 are in a serving of the mixture? matrix
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