Otakumetalhead666
contestada

D(p) is the​ price, in dollars per​ unit, that consumers are willing to pay for p units of an​ item, and​ S(p) is the​ price, in dollars per​ unit, that producers are willing to accept for p units. Find the equilibrium point. ​D(p)=3500−20p​, ​S(p)=2500+5p
What are the coordinates of the equilibrium​ point?

Respuesta :

MrRoyal

Answer:

(40,2700)

Step-by-step explanation:

Given

[tex]D(p)=3500-20p[/tex]

[tex]S(p)=2500+5p[/tex]

Required

The equilibrium point

To do this, we have:

[tex]D(p) = S(p)[/tex]

So, we have:

[tex]2500+5p = 3500-20p[/tex]

Collect like terms

[tex]20p+5p = 3500-2500[/tex]

[tex]25p = 1000[/tex]

Divide both sides by 25

[tex]p = 40[/tex]

Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]

[tex]D(40) = 3500 - 20 * 40[/tex]

[tex]D(40) = 2700[/tex]

Hence, the coordinates of the equilibrium is: (40,2700)

Otras preguntas