Vandelay Industries has 275 sales reps in order to sell its latex products, e to be assigned to one of four marketing teams. If the first team is to have f times as many members as the second team and the third team is to have f times os monu memb ers og +he fourth teonm how con the members be

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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3. Vandelay Industries has 275 sales reps in order to sell its latex products, each
to be assigned to one of four marketing teams. If the first team is to have four
times as many members as the second team and the third team is to have five
times as many members as the fourth team, how can the members be
distributed among the teams?
Transcribed Image Text:3. Vandelay Industries has 275 sales reps in order to sell its latex products, each to be assigned to one of four marketing teams. If the first team is to have four times as many members as the second team and the third team is to have five times as many members as the fourth team, how can the members be distributed among the teams?
Expert Solution
Step 1

there are four marketing teams, 

let they be x, y, z, w 

given the total number of sales representative is 275 to be assigned, therefore x+y+z+w=275  (1)

first team should have four times the member in second team, therefore x=4y

third team has five times the member in fourth team

z=4w

let w be the independent variable,

 therefore 

x=4yz=4ww=w

find the value of y in terms of w from equation (1)

x+y+z+w=2754y+y+4w+w=2755y+5w=2755y=275-5wy=2755-w=55-w

 

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