contestada

The demand for commodity X is represented by the equation P = 100 - 2Q and supply by the equation P = 10 + 4Q. The equilibrium price is

Multiple Choice

$50.

$70.

$80.

$130.

Respuesta :

Answer:

$70

Explanation:

The equilibrium price is the price at which the demand quantity and supply quantity are the same

Demand equation: P = 100 - 2Q

Supply equation: P = 10 + 4Q

P = P

Therefore, 100 - 2Q = 10 + 4Q

4Q + 2Q = 100 -10

6Q = 90

Q = 90/6 = 15

Substitute the value of Q in either the demand or supply equation to obtain P (equilibrium price)

P = 10 + 4Q = 10 + 4(15) = 10 + 60 = 70

Equilibrium price (P) = $70