To elucidate a little more on the Victim Surcharge:
The measure was introduced as part of the Domestic Violence, Crime and Victims Act 2004 and came into use from 1st April 2007. It was said to be part of the government’s attempt to rebalance the justice system in favour of victims and the money raised is supposed to be used to fund schemes which help victims (though, strangely, the main charity aimed at helping victims, Victim Support, currently receives no cash from the fund).
The legislation says that all courts which impose a fine upon a defendant must also impose a “Victim Surcharge” (currently £15). The sentencing judge or magistrates have no discretion over this and, unlike any other financial penalty they may impose, it cannot be reduced or waived due to individual circumstances surrounding the offence or the offender. It is not applied to fixed penalties which are imposed outside of the court system, though just before Christmas it was announced that changes are being drawn up to do so.
Like many measures introduced by the current government it is somewhat inappropriate. The vast majority of people paying the surcharge are guilty of minor motoring offences. Although many will say that, overall, the activity of motoring involves many victims (though I have to say I do not include you among them in this instance, Myriad!) most individual offences such as your one involve no victim.
Meanwhile, those miscreants who commit serious offences such as robbery, theft and those involving violence, where there certainly are identifiable victims pay nothing as long as they receive a sentence harsher than a fine.
It depends on your interpretation of “dumb” but it is paid by all people who are subject to a fine whether they are able to speak or not.