which machine has the highest efficiency machine a has a output work of 750 input work of 1500 b as output work of 1,000 and input work 4,000 C has an output work 450 and input work of 600 and finally the output work of 3,000 and input work of 5000

Machine C has the highest efficiency because it has the highest output work/input work ratio.

Machine A: Efficiency = 750/1500 = 0.5
Machine B: Efficiency = 1000/4000 = 0.25
Machine C: Efficiency = 450/600 = 0.75
Machine D: Efficiency = 3000/5000 = 0.6

Therefore, machine C has the highest efficiency with a ratio of 0.75.