A dealer deals in only two items, cycles and scooters. He has 50,000 $ to invest and a space to stroe at most 60 pieces.

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A dealer deals in only two items, cycles and scooters. He has50,000 $ to invest and a space to stroe at most 60 pieces. Onescooter costs him 2,500 $ and a cycle costs him 500 $. He can sella scooter at a profit of 500 $ and a cycle at a profit of 150 $.Assuming that he can sell all the items that he buys, how should heinvest his money in order that he may maximize his profit?