a) Draw a weighted graph that represents the travel time between destinations. b) Find the shortest route (trace it in your graph),starting and ending at home, that will help Vincent minimize his total travel time. c) What is the minimum travel time possible?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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1. Vincent needs to visit the pet store, the shopping mall, the local farmers market, and the
pharmacy. His estimated driving times (in minutes) between locations are given in the table.
a) Draw a weighted graph that represents the travel time between destinations.
b) Find the shortest route (trace it in your graph),starting and ending at home, that will
help Vincent minimize his total travel time.
c) What is the minimum travel time possible?
home
pet store
shopping mall
Farmer's market
pharmacy
home pet store shopping mall Farmer's market Pharmacy
0
20
10
20
0
20
30
14
12
15
25
25
10
20
0
30
14
0
17
12
15
25
17
0
25
Transcribed Image Text:1. Vincent needs to visit the pet store, the shopping mall, the local farmers market, and the pharmacy. His estimated driving times (in minutes) between locations are given in the table. a) Draw a weighted graph that represents the travel time between destinations. b) Find the shortest route (trace it in your graph),starting and ending at home, that will help Vincent minimize his total travel time. c) What is the minimum travel time possible? home pet store shopping mall Farmer's market pharmacy home pet store shopping mall Farmer's market Pharmacy 0 20 10 20 0 20 30 14 12 15 25 25 10 20 0 30 14 0 17 12 15 25 17 0 25
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