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; \[\alpha \]and \[\beta \] are constants. The optimal value of x for fast processing is [MNR 1986]

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

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

N characters of information are held on magnetic tape, in batches of x

1.	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; \[\alpha \]and \[\beta \] are constants. The optimal value of x for fast processing is [MNR 1986]
A.	\[\frac{\alpha }{\beta }\]
B.	\[\frac{\beta }{\alpha }\]
C.	\[\sqrt{\frac{\alpha }{\beta }}\]
D.	\[\sqrt{\frac{\beta }{\alpha }}\]
Answer» D. \[\sqrt{\frac{\beta }{\alpha }}\]

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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; \[\alpha \]and \[\beta \] are constants. The optimal value of x for fast processing is [MNR 1986]

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