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The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion
$x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{3}+7\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{2}$
would be

1. $2 \times 10^{3}$
2. $4 \times 10^{3}$
3. $6 \times 10^{3}$
4. $8 \times 10^{3}$