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WORKED EXAMPLEQd = Qs, so P = 16
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worked exampleEconomics5 min read
Supply and demand: finding equilibrium
Given demand and supply equations, find the price where the market clears.
supply-and-demand-equilibrium.md
In shortSet quantity demanded equal to quantity supplied and solve for price. Here P = 16 and Q = 68.
The setup
Demand: Qd = 100 − 2P. Supply: Qs = 20 + 3P. Equilibrium is where Qd = Qs.
Solve it
- 100 − 2P = 20 + 3P
- 80 = 5P
- P = 16
- Q = 100 − 2(16) = 68
What if the price is wrong?
| Price | Qd | Qs | Result |
| 10 | 80 | 50 | Shortage of 30 |
| 16 | 68 | 68 | Equilibrium |
| 20 | 60 | 80 | Surplus of 20 |
AI explanations can contain mistakes. Check important answers with your teacher.
AI explanations can contain mistakes. Check important answers with your teacher.
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