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Suppose the demand and supply curves of what are given by. qd=200-p and qs=120 p. a. Find the equilibrium price. b. Find the equilibrium quantity of demand and supply. c. Find the quantity of demand and supply when p>equilibrium price?
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Suppose the demand and supply curves of what are given by. qd=200-p an...
Equilibrium Price and Quantity

  • The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

  • Set the demand and supply equations equal to each other:


    • 200-p = 120p

    • 320p = 200

    • p = 0.625


  • The equilibrium price is $0.625.

  • Substitute the equilibrium price into either the demand or supply equation to find the equilibrium quantity:


    • qd = 200-0.625 = 199.375

    • qs = 120(0.625) = 75

    • The equilibrium quantity is 75.



Quantity Demanded and Supplied When p>Equilibrium Price

  • When the price is above the equilibrium price, there is a surplus of supply.

  • At prices above $0.625, the quantity supplied is greater than the quantity demanded.

  • The quantity supplied can be found by substituting the price into the supply equation:


    • qs = 120p

    • When p = $1, qs = 120($1) = 120


  • The quantity demanded can be found by substituting the price into the demand equation:


    • qd = 200-p

    • When p = $1, qd = 200-$1 = 199


  • Therefore, when the price is $1, the quantity supplied is 120 and the quantity demanded is 199. This creates a surplus of 79 units.


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Suppose the demand and supply curves of what are given by. qd=200-p and qs=120 p. a. Find the equilibrium price. b. Find the equilibrium quantity of demand and supply. c. Find the quantity of demand and supply when p>equilibrium price?
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