How Many Machines

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John owns a machine manufacturing company. He manufactures 3 different types of machines. Each of the machine produces some fixed output units for some fixed input units. For instance say machine 1 produce 3 output units for 2 every input units, machine 2 produce 4 output units afor every 3 input units and machine 3 produce 6 units of output for every 4 input units. He is given an order from a com

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