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question 20 1 pts
the demand curve is $qd = 1,600 - 50p$ and the supply curve is $qs = 1,200 + 150p$. calculate the equilibrium quantity.
- quantity = 1,500
- quantity = 11,200
- quantity = 1,000
- quantity = 1,400
Step1: Set Qd = Qs
At equilibrium, quantity demanded equals quantity supplied, so we set \( 1600 - 50P = 1200 + 150P \).
Step2: Solve for P
First, add \( 50P \) to both sides: \( 1600 = 1200 + 200P \).
Then, subtract 1200 from both sides: \( 400 = 200P \).
Divide both sides by 200: \( P = 2 \).
Step3: Substitute P into Qd (or Qs)
Using the demand curve \( Qd = 1600 - 50P \), substitute \( P = 2 \):
\( Qd = 1600 - 50(2) = 1600 - 100 = 1500 \).
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Quantity = 1,500