Of the 50 electronics components that a factory must\nmanufacture, 70 percent would be most e¢ ciently manufactured\nby Machine A and the remaining 30 percent would be most\ne¢ ciently manufactured by Machine B, though either machine\ncould manufacture any of the 50 components. If 36 percent of\nthe components were manufactured by Machine A and the\nremainder were manufactured by Machine B, what is the\nhighest possible number of components that were\nmanufactured by the machine that would manufacture them\nthe most efficiently?\nOptions:\n(A) 30\n(B) 31\n(C) 32\n(D) 33\n(E) 34 Think first, then make a decision. Some random thoughts:
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# components A and B could manufacture efficiently:\nA: 50*70% = 35\nB: 50*30% = 15\n# components A and B effectively manufacture:\nA: 50*36% = 18\nB: 50*64% = 32\nMax. # components efficiently manufactured:\n18 (from A) and 15 (from B) = 33 So the answer is (D).
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