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Homework answers / question archive / The market demand for a good is P = 70 - 1
The market demand for a good is P = 70 - 1.5Q. The good can be produced at a constant cost of $10. How much deadweight loss is created if the market is served by a monopolist as opposed to a competitive market?
Given data,
The market demand for a good is P = 70 - 1.5Q.
The good can be produced at a constant cost of $10.
P = 70 - 1.5Q, MC =10$
Competitive market; P=MC
70 - 1.5Q = 10
1.5Q = 60
Q= 40 And P=10
In a monopoly MR = MC
TR = P * Q
(70 - 1.5Q)* Q = 70Q- 1.5Q2
Then we derivate TR with respect to Q
MR= dTR/dQ = 70- 3Q
So,
70-3Q= 10
3Q= 60
Q=20
Put Q=20 in P=70 - 1.5Q
then P=40
Formula to Calculate Deadweight Loss = (1/2)* (P2 - P1) * (Q1 - Q2).
Here P2= 40 and P1= 10 and Q1=40 and Q2=20
Dead weight loss = (1/2) *(40-10) * (40-20)
= 300Ans