Of the 90 electronics components that a factory must manufacture, 50 percent would be most e¢ ciently manufactured by Machine A and the remaining 50 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 90 components. If 50 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?  Choose the correct choice from the following choices
A) 80 B) 32 C) 90 D) 33 E) 36
A can manufacture 50 % of 90 efficiently, which is 45.   B can manufacure 50 % of 90 efficiently, which is 45.   Now 50 % of 90 are produced by A. This means 45 parts. Since A can produce 45 efficiently, all 45 are produced efficiently. Rest (45) is produced by B, which can produce max. 45 parts efficiently.   Hence parts that were produced efficiently = 45+45= 
<gadget id="calculator">45+45</gadget>
<output>90</output>
90. (90).
<result>C</result>
Of the 90 electronics components that a factory must manufacture, 50 percent would be most e¢ ciently manufactured by Machine A and the remaining 50 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 90 components. If 50 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?