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πŸ‘¨β€πŸ« Notes on Lecture 9

Pindyck and Rubinfeld: Section 4.4
 Sections 9.1 – 9.4
 Section 11.1

  1. Under the demand curve
  2. Above the Price consumer pay
  3. To the left of the maximum number of units consumers actually consume.

Here is an illustration:

Hand-drawn supply and demand diagram with green shaded area showing Consumer Surplus: the area under the demand curve, above the price P, to the left of quantity Q
  1. Above the Supply Curve
  2. Below the price producers receive
  3. To the left of the number of units actually produced.

Here is an illustration:

Hand-drawn supply and demand diagram with green shaded area showing Producer Surplus: the area above the supply curve S, below the price P, to the left of quantity Q

priceΓ—surplus(QSβˆ’QD)\text{price} \times \text{surplus} (Q_S - Q_D)  [Price Floor - gov’t buys surplus]
or
taxΓ—Qtax\text{tax} \times Q_{\text{tax}}  [Tax]

SS=CS+PS+GSSS = CS + PS + GS

✏ Fill in the following table for a binding price ceiling. Also identify the quantity demanded, quantity supplied, and the shortage or surplus, if any. What is the deadweight loss of the price floor?

Supply and demand diagram with labeled regions A through E for welfare analysis. Supply curve S and demand curve D intersect at equilibrium P* and Q*. A red horizontal line marks the price ceiling P^C below equilibrium, creating areas used to calculate CS, PS, and SS before and after the price ceiling.
Before Price CeilingAfter Price CeilingChange
CS
PS
SS
βœ” Click here to view answer

Solution is at the bottom of the page. β€ƒβœ…

✏️ Fill in the following table for a binding price floor. The government does not buy the surplus. Also identify the quantity demanded, quantity supplied, and the amount of surplus produced, if any. What is the deadweight loss of the price floor?

Supply and demand diagram with labeled regions A through H for welfare analysis. Supply curve S and demand curve D intersect at equilibrium P* and Q*. A red horizontal line marks the price floor P^F above equilibrium, with dashed lines marking quantities demanded and supplied, creating areas used to calculate CS, PS, and SS before and after the price floor.
Before Price FloorAfter Price FloorChange
CS
PS
SS
βœ” Click here to view answer

Solution is at the bottom of the page. β€ƒβœ…

✏️ Fill in the following table for a binding price floor. The government buys the surplus. Also identify the quantity demanded, quantity supplied, and the amount of surplus produced, if any. What is the deadweight loss of the price floor?

Supply and demand diagram with labeled regions A through H for welfare analysis. Supply curve S and demand curve D intersect at equilibrium P* and Q*. A red horizontal line marks the price floor P^F above equilibrium, with dashed lines marking quantities demanded and supplied, creating areas used to calculate CS, PS, and SS before and after the price floor.
Before Price FloorAfter Price FloorChange
CS
PS
Gov
SS
βœ” Click here to view answer

Solution is at the bottom of the page. β€ƒβœ…

✏️ Fill in the following table describing the social welfare effects of Monopoly vs Perfect Competition. Also identify amount supplied by the monopoly and under perfect competition. What is the deadweight loss of the monopoly?

Supply and demand diagram for monopoly vs perfect competition welfare analysis. Downward-sloping demand curve D, U-shaped MC curve, and downward-sloping MR curve. Areas labeled A through E between price levels P^Mon, P^PC, and MR, used to calculate CS, PS, and SS under each market structure.
Perfect CompetitionMonopolyChange
CS
PS
SS
βœ” Click here to view answer

Solution is at the bottom of the page. β€ƒβœ…

✏️ Fill in the following table describing the social welfare effects of a tax. What is the deadweight loss of the tax?

Supply and demand diagram for tax welfare analysis. S and D curves intersect at equilibrium E with P* and Q*. Price consumers pay Pc is above P*, price producers receive Pp is below P*. Areas labeled A through F between these price levels, with Q_Tax showing reduced quantity after tax, used to calculate CS, PS, Gov surplus, and SS before and after the tax.
Before TaxAfter TaxChange
CS
PS
Gov
SS
βœ” Click here to view answer

Solution is at the bottom of the page. β€ƒβœ…

Welfare Analysis of Price Ceiling solution slide with ink annotations. Supply and demand diagram with areas A through E labeled. Table shows: CS changes from A+B to A+C (change +C-B), PS changes from C+D+E to E (change -C-D), SS changes from A+B+C+D+E to A+C+E (change -B-D). Handwritten: DWL = B + D, derived from delta SS = -B - D. Shortage shown between Q^S and Q^D at price ceiling P^C. Welfare Analysis of Price Floor (Govt. Does Not Buy Surplus) solution slide with ink annotations. Supply and demand diagram with areas A through H labeled, hatched surplus region between Q' and Q^S. Table shows: CS changes from A+B+C to A (change -B-C), PS changes from G+H to B+H (change +B-G), SS changes from A+B+C+G+H to A+B+H (change -C-G). DWL = C + G.

Binding vs. Non-binding Price Controls:

BindingNon-binding
Price FloorBinding Price Floor
Supply and demand diagram showing a binding price floor above equilibrium price P*, with red horizontal line creating a surplus between quantity demanded Q^D and quantity supplied Q^S
Price Floor > Pβˆ—P^* ⇨ Surplus
Non-binding Price Floor
Supply and demand diagram showing a non-binding price floor below equilibrium price P*. Red annotations show Q^D = Q^S = Q*, with red arrows on the price floor line indicating no effect on equilibrium.
Price Floor < Pβˆ—P^* ⇨ NO EFFECT
Price CeilingBinding Price Ceiling
Supply and demand diagram showing a binding price ceiling below equilibrium price P*, with red horizontal line and red Shortage label with arrows indicating excess demand between quantity supplied Q^S and quantity demanded Q^D
Price Ceiling < Pβˆ—P^* ⇨ Shortage
Non-binding Price Ceiling
Supply and demand diagram showing a non-binding price ceiling above equilibrium price P*. Red annotations show Q^D = Q^S = Q*, with red arrows on the price ceiling line indicating no effect on equilibrium.
Price Ceiling > Pβˆ—P^* ⇨ NO EFFECT