The market supply curve in a competitive industry
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The market supply curve in a competitive industry

1. STC = 40 + 20Q + 0.2Q2. SMC = 20 + 0.4Q. The market price is $60.

a. Find the profit maximizing Q.
b. Calculate the maximum profit.
c. Calculate the producer surplus.
d. Show the producer surplus on a graph.

2. The market supply curve in a competitive industry is: QS = 20P – 5. The corresponding market demand curve is: QD = 2200 – 100P.
a. What is the equilibrium price in this industry?
b. What is the equilibrium output in this industry?
c. Show this equilibrium price and quantity on a graph.
d. Pin stripe the area of consumer surplus? Calculate Consumer Surplus.
e. Use horizontal stripes to indicate the area of producer surplus. Calculate producer surplus.

3. In the graph below:
a. Determine the rental price if there is a price ceiling of $400.
b. Determine the number of units rented if there is a price ceiling at $400.
c. Is there a shortage or a surplus or neither?
d. If there is a shortage (or a surplus) indicate the amount of shortage/surplus.


4. In the graph above:
a. Determine the rental price if there is a price floor of $400.
b. Determine the number of units rented if there is a price floor at $400.
c. Is there a shortage or a surplus or neither?
d. If there is a shortage (or a surplus) indicate the amount of shortage/surplus.

5. In the graph above:
a. Determine the rental price if there is a price ceiling of $800.
b. Determine the number of units rented if there is a price ceiling at $800.
c. Is there a shortage or a surplus or neither?
d. If there is a shortage (or a surplus) indicate the amount of shortage/surplus.

6. In the graph above:
a. Determine the rental price if there is a price floor of $1000.
b. Determine the number of units rented if there is a price floor at $1000.
c. Is there a shortage or a surplus or neither?
d. If there is a shortage (or a surplus) indicate the amount of shortage/surplus.


Hint
Economics1)A)STC = 40 + 20Q + 0.2*Q^2SMC = 20 + 0.4*QP = 60Profit is given by r = PQ – STCMax r = PQ – 40 – 20*Q – 0.28Q^2r’ = P – 20 – 0.4*QSetting r’ = 0 -> P = 20 + 0.4*QGiven that P = 60 -> 60 = 20 + 0.4*QQ = 100...

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