taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The arrows represent one-way streets. Route 1: AB→ + BE→ + EC→ Route 2: AB→ + BD→ + DC→AB→ is common in both routes, hence same timing. Route 1: BE→ + EC→=3 westward blocks + 3 northward blockstime taken=3×6 + 3×12time taken=54min Route 2: BD→ + DC→=3 northward blocks+3 westward blocks time taken=3×12 + 3×6time taken=54min d) Is there a best route? Is it unique? e) Identify which vector properties are used in your solution. f) If the taxi charges for mileage are $0.50/rectangular block and the time charges are $0.10/minute, what is the cheapest route from A to C? How much should each passenger pay?
taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The arrows represent one-way streets. Route 1: AB→ + BE→ + EC→ Route 2: AB→ + BD→ + DC→AB→ is common in both routes, hence same timing. Route 1: BE→ + EC→=3 westward blocks + 3 northward blockstime taken=3×6 + 3×12time taken=54min Route 2: BD→ + DC→=3 northward blocks+3 westward blocks time taken=3×12 + 3×6time taken=54min d) Is there a best route? Is it unique? e) Identify which vector properties are used in your solution. f) If the taxi charges for mileage are $0.50/rectangular block and the time charges are $0.10/minute, what is the cheapest route from A to C? How much should each passenger pay?
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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A taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The arrows represent one-way streets.
Route 1: AB→ + BE→ + EC→
Route 2: AB→ + BD→ + DC→AB→ is common in both routes, hence same timing.
Route 1: BE→ + EC→=3 westward blocks + 3 northward blockstime taken=3×6 + 3×12time taken=54min
Route 2: BD→ + DC→=3 northward blocks+3 westward blocks time taken=3×12 + 3×6time taken=54min
d) Is there a best route? Is it unique?
e) Identify which vector properties are used in your solution.
f) If the taxi charges for mileage are $0.50/rectangular block and the time charges are $0.10/minute, what is the cheapest route from A to C? How much should each passenger pay?
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