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πŸ”Ž Basic Recipes for CS, PS, TS and GS

For an individual person, their CS is the difference between the value that they get from a good and the price that they pay for it:

CS=valueΒ ofΒ goodβˆ’priceΒ ofΒ goodCS = \text{value of good} - \text{price of good}

For a group of people, add up the CS for each person who purchases the good.

For a very large number of people, you can approximate the CS by calculating the following area:

  • Above the Price Line
  • Below the Demand Curve ← the value/reservation price
  • To the Left of the last unit consumed
Supply and demand graph titled Perfect competition showing consumer surplus as a shaded triangle. Individual buyers Alice, Bob, Celeste, Danny, Ellen are marked along the demand curve at decreasing reservation prices ($8, $7.79, $7.50). The CS triangle is above the price line P* = $5 and below the demand curve, calculated as 1/2 x $3 x 15 = $22.5. Buyers beyond Q* have CS = 0 because they do not purchase.

Producer surplus

PS is a lot like profit (it ignores fixed costs)
For an individual sale of a good, the PS is the difference between the revenue from the sale (price received) and the cost of producing the good:

PS=Priceβˆ’MarginalΒ CostPS = \text{Price} - \text{Marginal Cost}

For total Producer Surplus, just add up the PS from all items sold.

For a very large number of sales, you can approximate the PS by calculating the following area:

  • Below the Price Line   ← their revenue
  • Above the Supply Curve ← their marginal cost
  • To the Left of the last unit produced ← only units that are actually produced matter.
Supply and demand graph titled Perfect competition showing producer surplus as blue-hatched area below price line P* and above the supply curve. Individual firms Acme #1, Beta #1, Acme #2, Beta #2, GammaCo. #1 are marked along the supply curve with increasing reservation prices illustrating their marginal costs.

Total surplus = Social Surplus

TS is just CS+PSCS + PS. Because CS and PS both have the price line as one of their edges, there is a shortcut.

For a very large number of sales, you can approximate the TS by calculating the following area:

  • Below the Demand Curve   ← CS
  • Above the Supply Curve ← PS
  • To the Left of the last unit produced ← only units that are actually produced matter.
Supply and demand graph with green shaded area representing Total Surplus (TS). The TS region is below the demand curve (D) and above the supply curve (S), to the left of equilibrium quantity Q*. Handwritten TS label marks the shaded area. Axes labeled P and Q with equilibrium at P* and Q*.