Question

The charges for hiring a car from three different companies, based on the number of days for which a car is hired and/or the number of kilometres for which the car is driven are as follows:
Company A charges $660 per day
Company B charges 48 cents on per kilometre driven
Company C charges $300 per day per day and $150 on per kilometre driven
John needs to hire a car for 4 days to drive 560 kilometres

i) Write down two matrices only such that the elements of their product under matrix multiplication give the charge of hiring a car from three different companies
ii) Find this product. Hence state the company that John should hire the car from in order to save cost.

Please help, I don't know where to start... What variables should I use to represent the kilometre driven, etc?

Answer 1

A | 660 0| d
B =| 0 , .48 | k
C | 300, 150| (I bet that 150 is a typo)

A = 660 d + 0 k
B = 0 d + .48 k
C = 300 d + 150 k

put in d = 4 and k = 560
(after proofreading your input)