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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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