SOLUTION: julio is deciding between 4 different vendors for a new IT system. Vendor A is less expensive Vendor C. Vendor C is more expensive than Vendor B. Vendor B is less expensive than Ve

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: julio is deciding between 4 different vendors for a new IT system. Vendor A is less expensive Vendor C. Vendor C is more expensive than Vendor B. Vendor B is less expensive than Ve      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 999728: julio is deciding between 4 different vendors for a new IT system. Vendor A is less expensive Vendor C. Vendor C is more expensive than Vendor B. Vendor B is less expensive than Vendor D. Vendor D is less expensive than Vendor A. If Julio wants to purchase the least expensive system, which vendor will he pick?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
A < C
C > B which implies that B < C
B < D
D < A

you have A < C, B < C, B < D, D < A

if A < C and D < A, then you have D < A < C

you have B < D, so now you have B < D < A < C

that means that B is the least expensive.

let's see if all the original assumptions are satisfied.

we are left with B < D < A < C

the original assumptions are:

A < C
C > B which implies that B < C
B < D
D < A

A < C is confirmed.
B < C is confirmed.
B < D is confirmed.
B < A is confirmed.

looks like we're good to go.

solution is that B is the least expensive.

julio should pick vendor B.