Problemas

Consider a market where the equilibrium price for a good is 23 and the equilibrium quantity is 400 units. Assume that the quantity supplied at an above-equilibrium price is 4 times the equilibrium quantity, and the quantity demanded at the above-equilibrium price is 1/2 the equilibrium quantity. Calculate the surplus in the market at the above-equilibrium price. If necessary, round any intermediate calculations to one decimal place and your final answer to the nearest whole number.
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To calculate the surplus in the market at an above-equilibrium price, we need to determine the quantities supplied and demanded at that price and then find the difference between them.<br /><br />1. **Equilibrium Details:**<br /> - Equilibrium Price (\(P_e\)): \$23<br /> - Equilibrium Quantity (\(Q_e\)): 400 units<br /><br />2. **Above-Equilibrium Price Quantities:**<br /> - Quantity Supplied at Above-Equilibrium Price: 4 times the equilibrium quantity<br /> \[<br /> Q_s = 4 \times Q_e = 4 \times 400 = 1600 \text{ units}<br /> \]<br /> - Quantity Demanded at Above-Equilibrium Price: \( \frac{1}{2} \) of the equilibrium quantity<br /> \[<br /> Q_d = \frac{1}{2} \times Q_e = \frac{1}{2} \times 400 = 200 \text{ units}<br /> \]<br /><br />3. **Surplus Calculation:**<br /> - Surplus is the excess of quantity supplied over quantity demanded.<br /> \[<br /> \text{Surplus} = Q_s - Q_d = 1600 - 200 = 1400 \text{ units}<br /> \]<br /><br />Therefore, the surplus in the market at the above-equilibrium price is **1400 units**.
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