Asked by NiRa

The charges for hiring a car from three different companies, based on the number of days for which a car is hired and/or 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 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 in order to save cost.

My answer:
The number of days - x; number of kilometres driven - y
Thus, (660x) =
(48y) =
(300x +150y)
This above is supposed to be a 3x1 matrix
I would equate all of these matrices to the 2x1 matrix (4x) (5y)
Please tell me if I'm on the right track. Thank you.

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