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CS and PS with Price Floors

Image illustrating CS and PS with Price Floors


  • In the diagram above the consumer surplus is the area above the price floor but below the demand which is ________
  • Producer surplus is the area below the price floor but above the supply which is ________
  • DWL is the triangle between the original equilibrium quantity and the new quantity which is ________


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Example: CS, PS, DWL with Price Floors

Suppose the demand is P = 250 - 3Q and supply is P = 50 + Q. If there is a price floor of $130, what would be the consumer surplus, producer surplus and deadweight loss?



Plug the price of 130 into the demand equation: 130 = 250 - 3Q

3Q = 120

Q = 40


Plug the quantity of 40 in to the supply equation:

P = 50 + 40 = 90


Producer surplus = (40*40* 1/2) + (40*40) = $2400


Consumer surplus = 40 * (250-130) * 1/2 = $2400


DWL = (50 - 40) * (130 - 90) * 1/2 = $200