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The national office of a car rental company is planning its maintenance for the year. The company's management are interested in determining the company's needs

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The national office of a car rental company is planning its maintenance for the year. The company's management are interested in determining the company's needs for certain repair parts. The company rents saloon cars, station wagons and double cab pick-ups. The matrix N shown below indicates the number of each type of vehicle available for renting in the four regions of the county. Saloons Station Double Wagons cabs 160 100 500 Cost N = 150 300 200 Central 100 100 150 Western 120 400 300 Highlands Four repair parts of particular interest, because of their cost and frequency of replacement, are fan belts, spark plugs, batteries and tyres. On the basis of studies of maintenance records in different parts of the country, the management has determined the average number of repair parts needed per car during a year. These are summaries in matrix R below: Saloons Station Double Wagons cabs 17 16 15 Fan belts N - 12 8 Plugs Butteries Tyres Required: () The total demand for each type of car. (3 marks) (ii) The total number of each repair part required for the fleet

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