a transport company has two types of trucks; mack $375 and chevrolet R28s. Macks
ID: 2382801 • Letter: A
Question
a transport company has two types of trucks; mack $375 and chevrolet R28s. Macks have a refrigerated capacity of 15 m 3 and a non-refrigerated capacity of 45m while R28s have the same overall volume with equal sections for refrigerated and non-refrigerated stock. a grocer needs to hire trucks for the transport of 4,000m3 of refrigerated stock and 3,000 m3 of non-refrigerated stock. the cost of renting a mack is $350, while the cost of renting a chevrolet is $400. how many trucks of each type should the grocer rent to achieve the minimum total cost?
Explanation / Answer
Cost of renting a mack is lower, hence Co. should hire maximum number of Mack Trucks.
Maximum number of Mack trucks for hire = non-refrigerated stock 3000 m3 / 45 m = 67 Tucks
Refrigerated stock transport by Mack turkcs = 67 Trucks * 15 m = 1005m
Hence reaminng Refrigerated stock = 4000 m - 1005m = 2995m
Hence Chevrolet truck to be hired = 2995 m / 30 = 100
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