The number of units N of a finished product produced by a particular automobile company where x units of labor and y units of capital are used is approximated by N=50x^{frac{1}{2}}y^{frac{1}{2}} Estimate how many units will be produced using 256 units of labour and 144 units of capital.

The number of units N of a finished product produced by a particular automobile company where x units of labor and y units of capital are used is approximated by $N=50{x}^{\frac{1}{2}}{y}^{\frac{1}{2}}$
Estimate how many units will be produced using 256 units of labour and 144 units of capital.
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Arnold Odonnell

Substitute x=256 and y=144:
$N=50{\left(256\right)}^{\frac{1}{2}}{\left(144\right)}^{\frac{1}{2}}$
Since ${a}^{\frac{1}{2}}=\sqrt{a}$, then:
$N=50×\sqrt{256}×\sqrt{144}$
$N=9600units$