In: Statistics and Probability
Rent'R Cars is a multisite car rental company in the city. It is trying out a new "return the car to the location most convenient for you" policy to improve customer service. But this means that the company has to constantly move cars around the city to maintain required levels of vehicle availability. The supply and demand for economy cars, and the total cost of moving these vehicles between sites, are shown below.
From\To | D | E | F | G | Supply | ||||||
A |
$15 |
$16 |
$14 |
$6 |
70 | ||||||
B |
8 |
7 |
13 |
6 |
35 | ||||||
C |
14 |
9 |
15 |
12 |
100 | ||||||
Demand | 55 | 60 | 50 | 40 | 205\205 | ||||||
a. Find the solution that minimizes moving costs
using Microsoft Excel. (Leave no cells blank - be certain
to enter "0" wherever required.)
|
The Excel output is:
D | E | F | G | Supply | ||
A | 15 | 16 | 14 | 6 | 70 | |
B | 8 | 7 | 13 | 6 | 35 | |
C | 14 | 9 | 15 | 12 | 100 | |
Demand | 55 | 60 | 50 | 40 | 205 | |
Total shipped | ||||||
D | E | F | G | Supply | ||
A | 0 | 0 | 30 | 40 | 70 | 70 |
B | 35 | 0 | 0 | 0 | 35 | 35 |
C | 20 | 60 | 20 | 0 | 100 | 100 |
55 | 60 | 50 | 40 | 205 | ||
Demand | 55 | 60 | 50 | 40 | ||
Cost | 2060 | |||||
Total costs | ||||||
D | E | F | G | Supply | ||
A | 0 | 0 | 420 | 240 | 660 | |
B | 280 | 0 | 0 | 0 | 280 | |
C | 280 | 540 | 300 | 0 | 1120 |
(a)
D | E | F | G | Supply | |
A | 0 | 0 | 30 | 40 | 70 |
B | 35 | 0 | 0 | 0 | 35 |
C | 20 | 60 | 20 | 0 | 100 |
Total shipped | 55 | 60 | 50 | 40 | 205 |
D | E | F | G | Supply | |
A | 0 | 0 | 420 | 240 | 660 |
B | 280 | 0 | 0 | 0 | 280 |
C | 280 | 540 | 300 | 0 | 1120 |
Total costs | 560 | 540 | 720 | 240 | 2060 |