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A traffic survey conducted on a road yields an average daily traffic count of $5000$ vehicles. The axle load distribution on the same road is given in the following table.

$$\begin{array}{|c|c|} \hline \text{Axle load (tonnes)} & \text{Frequency of traffic (%)} \\ \hline 18 & 10 \\ \hline 14 & 20 \\ \hline 10 & 35 \\ \hline 8 & 15 \\ \hline 6 & 20 \\ \hline \end{array}$$

The design period of the road is $15$ years, the yearly traffic growth rate is $7.5 \%$ and the load safety factor (LSF) is $1.3$. If the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load, MSA) is ________
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