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Mathematics, 11.10.2021 21:50 jtphillips02

Marks) 23. A firm has a fleet of vans and motor cycles. Each van can carry 9 crates and 3 cartons. Each motorcycles can carry 4 crates and 10 cartons. The firm has to deliver a total of 36 crates and 30 cartons. If x van and y motorcycles are used to make the delivery. (4 marks) (i) Write down four inequality which must be satisfied by x and y. (4 marks) (ii) Illustrate all the inequalities graphically. (iii) Given that the cost of using a van is exactly the same as that of using a motorcycle. (2 marks) Find two pairs of (x, y) which give the smallest total cost of delivery.

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