The inverse demand function for video games isP_D(q) = 240 - 2qand the inverse supply function isP_S(q) = 3 + q. When the government imposes a $6 tax on firms foreach video game sold,

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

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.

Please provide detail calculation