A building contractor has to move 150 tonnes of cement to a site 30km away. He has at his disposal 5 lorries. Two of the...

A building contractor has to move 150 tonnes of cement to a site 30km away. He has at his disposal 5 lorries. Two of the lorries have a carrying capacity of 12 tonnes each while each of the remaining can carry 7 tonnes. The cost of operating a 7 tonne lorry is sh. 15 per km and that of operating a 12 tonne lorry is sh. 25 per km. The number of trips by the bigger lorries should be more than twice that made by smaller lorries.
(a) Represent all the information above as inequalities.
(b) How should the contractor deploy his fleet in order to minimise the cost of moving the cement?

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Kavungya answered the question on March 29, 2019 at 09:52

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