Answer: Dead weight loss-= $3750
Explanation:
QD = 800 – 10P
QS = 50P – 1,000,
At equilibrium, quantity demanded is equal to quantity supplied , so we have that, equating the two equations becomes
800 - 10p = 50p - 1000.
800 + 1000 = 50p + 10p
1800 = 60p
p = $30.
QD= QS= 800 - 10*30 = 500 units
QD= QS= 50x30 -1000= 500 units
Qd = Qs = 500 units.
When P = $25 by government putting a price ceiling, which is below the equilibrium price,it will lead to more demand than supply in the market
QD = 800 – 10P
QD= 800-10X25
QD=800-250= 550units
QS = 50P – 1,000,
Qs = 50 X25 - 1000
= 1,250-1000
QS = 250 units.
When quantity demanded =250units as a result of Quantity supplied at 250units. we will have our new price to be
QD = 800 – 10P
250 = 800 - 10p
10p = 800 -250
10p = 550
p = $55.
To calculate Dead weight Loss, we use the formulae,
0.5 x (P2 - P1) x (Q1 - Q2) where P1 and P2 are old and new prices and Q1 AND Q2 are old and new quantities
DWL = 0.5 x (55-25) X (500-250)
= 0.5 x 30x 250
Dead weight loss = $3750.
