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The market demand and supply equations for a product are:​QD = 30 − 3P​QS = 20 + 2PHere, Q = quantity, P = price.What is the equilibrium demand?
Question

The market demand and supply equations for a product are:
​QD = 30 − 3P
​QS = 20 + 2P

Here, Q = quantity, P = price.

What is the equilibrium demand?

A.

18

B.

16

C.

24

D.

20

Correct option is C

To find equilibrium demand, we need to determine the equilibrium price first.
At equilibrium:

QD = QS

Substitute the given equations:

30 - 3P = 20 + 2P

Now solve for P (price):

30 - 20 = 3P + 2P

10 = 5P

P = 2

Now substitute P = 2into the demand equationto findequilibrium demand:

QD = 30 - 3(2)

QD = 24

Thus, equilibrium demand = 24 units.

Information Booster:

  • Equilibrium in a market occurs when quantity demanded equals quantity supplied.

  • Solving the equations simultaneously gives the equilibrium price.

  • Substituting the price into either equation gives the equilibrium quantity.

  • At equilibrium, there is no surplus or shortage in the market.

  • The concept is fundamental in microeconomic market analysis.

  • Demand curves are typically downward sloping, and supply curves are upward sloping.

  • Equilibrium ensures market efficiency under perfect competition assumptions.

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