A distributor records the weekly sales of personal computers (PCs) in three retail outlets in different parts of the country. The cost price of each model is: Pentium (basic) £480,             Pentium (extra) £600,                         Pentium (Latest) £1020 Number of computers sold in each shop:     Pentium (Basic) Pentium (Extra) Pentium (Latest) Shop A 150 320 180 Shop B 170 420 190 Shop C 201 63 58   The total weekly revenue for each shop is: Shop A £604,400    Shop B £642,300        Shop C £267,190 Use matrix multiplication to calculate: The total weekly cost of computers to each shop. The total weekly profit for each shop. Which shop makes the greatest overall profit?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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  1. A distributor records the weekly sales of personal computers (PCs) in three retail outlets in different parts of the country. The cost price of each model is:

Pentium (basic) £480,             Pentium (extra) £600,                        

Pentium (Latest) £1020

Number of computers sold in each shop:

 

 

Pentium (Basic)

Pentium (Extra)

Pentium (Latest)

Shop A

150

320

180

Shop B

170

420

190

Shop C

201

63

58

 

The total weekly revenue for each shop is:

Shop A £604,400    Shop B £642,300        Shop C £267,190

Use matrix multiplication to calculate:

  • The total weekly cost of computers to each shop.
  • The total weekly profit for each shop.
  • Which shop makes the greatest overall profit?
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