Case Study

Equilibrium Calculation Review

An economic analyst is tasked with finding the equilibrium point for the local wheat market. The market's demand is described by the function Qd=50020PQ_d = 500 - 20P, and the supply is described by Qs=50+30PQ_s = 50 + 30P, where P is the price per bushel and Q is the quantity in thousands of bushels.

The analyst submits the following calculation: Step 1: Set functions equal: $500 - 20P = 50 + 30PStep 2: Solve for Q: \450 = 50Q,so, so Q = 9. Step 3: Substitute Q back into the demand function: $9 = 500 - 20P, so $20P = 491,and, and P = $24.55$. Conclusion: The equilibrium quantity is 9,000 bushels and the equilibrium price is $24.55.

Identify the fundamental error in the analyst's methodology. Then, perform the correct calculation to find the actual equilibrium price (P*) and quantity (Q*).

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Updated 2025-08-11

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