Explain simply why (D) is the correct answer to: 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
e ciently 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?
Options:
(A) 30
(B) 31
(C) 32
(D) 33
(E) 34. Explanation:
# components A and B could manufacture efficiently:
A: 50*70% = 35
B: 50*30% = 15
# components A and B effectively manufacture:
A: 50*36% = 18
B: 50*64% = 32
Max. # components efficiently manufactured:
18 (from A) and 15 (from B) = 33