Word problem If the demand function is Qd 60 - ... - SS1 Economics Determinants of Equilibrium Price, Quantity And Point With Simple Applications Question
Word problem:
If the demand function is Qd = 60 - 2p and the supply function is Qs = 20 + 4p, what is the equilibrium level of quantity and price?
Solution:
To find the equilibrium level of quantity and price, we need to set the demand function equal to the supply function and solve for Q and p:
Qd = Qs
60 - 2p = 20 + 4p
60 - 20 = 6p
40 = 6p
p = 40/6 = 6.67
Now that we have the value of p, we can substitute it into either the demand or supply function to find the equilibrium quantity:
Qd = 60 - 2p = 60 - 2(6.67) = 46.67
Qs = 20 + 4p = 20 + 4(6.67) = 46.68
The equilibrium level of quantity is approximately 46.67 units and the equilibrium price is approximately $6.67 per unit.
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