question_answer

N characters of information are held on magnetic tape, in batches of x characters each, the batch processing time is \[\alpha +\beta {{x}^{2}}\] seconds, a and p are constants. The optical value of x for fast processing is,

A)  \[\frac{\alpha }{\beta }\]                       

B)  \[\frac{\beta }{\alpha }\]

C)  \[\sqrt{\frac{\alpha }{\beta }}\]              

D)  \[\sqrt{\frac{\beta }{\alpha }}\]