Determine the equilibrium price, quantity, and describe the state of the market if the price was $5.00.

Economics
Determine the equilibrium price, quantity, and describe the state of the market if the price was $5.00.

ScanSolve AI Answer

Okay, Janelle, let's continue with parts c) and d).

c) To find the quantity demanded and supplied if the price was 5.00,wesubstitute5.00, we substitute p=5$ into the demand and supply equations.

Step 1: Calculate quantity demanded (QDQ_D) at p=5p=5. QD=50−2pQ_D = 50 - 2p QD=50−2(5)Q_D = 50 - 2(5) QD=50−10Q_D = 50 - 10 QD=40Q_D = 40

Step 2: Calculate quantity supplied (QSQ_S) at p=5p=5. QS=30+3pQ_S = 30 + 3p QS=30+3(5)Q_S = 30 + 3(5) QS=30+15Q_S = 30 + 15 QS=45Q_S = 45

At a price of 5.00:Quantitydemandedis5.00: Quantity demanded is \boxed{40}QuantitysuppliedisQuantity supplied is\boxed{45}$

d) To describe the state of the market, we compare the quantity demanded and quantity supplied at p=5p=5.

Step 1: Compare QDQ_D and QSQ_S. At p=5p=5, QD=40Q_D = 40 and QS=45Q_S = 45. Since QS>QDQ_S > Q_D, there is a surplus in the market.

Step 2: Calculate the magnitude of the surplus. Surplus=QS−QD\text{Surplus} = Q_S - Q_D Surplus=45−40\text{Surplus} = 45 - 40 Surplus=5\text{Surplus} = 5

The state of the market is a surplus of ∗5∗\boxed{*5*} units.

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