Answer:
The total loss in welfare to the economy will be -$32.
Explanation:
By intersecting the supply function QS to the demand function QD, we will find the equilibrium price:
QD = QS
16P - 8 = 64 - 16P
16P + 16P = 64 +8 =
32P = 72
P = $2.00
Replacing the equilibrium price either in QS or QD, we foind the equilibrium quantity:
QS = 64 - 16*2 = 64 -32
QS = 32
In this case the total revenues at the equilibrium price RE will be:
RE = 32 * $2 = $64
On the other hand if the government imposes a price floor at $3.00, then the new total revenues RN will be:
RN = 32 * $3 = $96
Therefore the total losses is find by subtracting the revenue at the goverment price floor RN to the revenue at the equilibrium price RE:
LT = RE - RN
LT = $64 - $96 = -$32