Question

Of the 50 electronics components that a factory must manufacture, 70 percent would be most efficiently manufactured by Machine A and the remaining 30 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 50 components. If 36 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is the highest possible number of components that were manufactured by the machine that would manufacture them the most efficiently

1. ThanhThu
the highest possible number of components that would manufacture them the most efficiently  =  33%
The correct option is C.
What is percentage?
a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.
According to the given information:
the 50 electronics components that a factory must manufacture.
70 percent would be most efficiently manufactured by Machine A
30 percent would be most efficiently manufactured by Machine B,
If 36 percent of the components were manufactured by Machine A
the highest possible number of components that would manufacture them the most efficiently =
we know that :
A can manufacture:
50*70% = 35 components efficiently
B can manufacture:
50*30% = 15 components efficiently;
now :
A actually manufactured:
50*36% = 18 components (so all efficiently, since 35>18);
B actually manufactured:
50-18 = 32 components, out of which 15 were manufacture efficiently;
so,
the highest possible number of components that would manufacture them the most efficiently = 18 + 15
=  33
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I understand that the question you are looking for is :
Of the 50 electronics components that a factory must manufacture, 70 percent would be most e¢ ciently manufactured by Machine A and the remaining 30 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 50 components. If 36 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?
(A) 30
(B) 32
(C) 33
(D) 35
(E) 36