The inverse demand function for vidco games is p $=240-$q and the inversesupply function is p $=20+3$q$.$ When the government imposes a $$6$ tax on cach videogame purchased.

A$.$consumer's surplus falls by more than producer's surplus

B$.$ producer's surplus falls by more than consumer's surplus.

C$.$consumer's surplus and producer's surplus fall by the same amount.

D$.$consumer's surplus falls and producer's surplus increases.

E$.$ producer's surplus falls and consumer's surplus increases