new website allows consumers to purchase various automobiles via the internet and then take delivery at a local dealer. The following table shows the retail price of the cars on the website. Brand A Brand B Compact 11,000 17,000 Midsize 21,000 19,000 Luxury 35,000 33,000 Pickup 54,000 51,000 The dealers makes the following profit: On compact cars they make 14% On midsize cars they make 11% On luxury cars they make 9% On pickup trucks they make
new website allows consumers to purchase various automobiles via the internet and then take delivery at a local dealer. The following table shows the retail price of the cars on the website. Brand A Brand B Compact 11,000 17,000 Midsize 21,000 19,000 Luxury 35,000 33,000 Pickup 54,000 51,000 The dealers makes the following profit: On compact cars they make 14% On midsize cars they make 11% On luxury cars they make 9% On pickup trucks they make
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A new website allows consumers to purchase various automobiles via the internet and then take delivery at a local dealer. The following table shows the retail price of the cars on the website.
| Brand A | Brand B | |
| Compact | 11,000 | 17,000 |
| Midsize | 21,000 | 19,000 |
| Luxury | 35,000 | 33,000 |
| Pickup | 54,000 | 51,000 |
The dealers makes the following profit:
On compact cars they make 14%
On midsize cars they make 11%
On luxury cars they make 9%
On pickup trucks they make 19%
Use the following matrix and multiple the price to find a matrix of profit per car.
| 0.14 | 0 | 0 | 0 | ||
| 0 | 0.11 | 0 | 0 | ||
| 0 | 0 | 0.09 | 0 | ||
| 0 | 0 | 0 | 0.19 |
The profit matrix is
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