The demand and supply functions in a competitive market are


Question: The demand and supply functions in a competitive market are

Qd = 280 - 4P  and  Qs = -35 + 8P

and price is currently 19. When not at equilibrium the rate of adjustment of price is

dP = 0.28(Qd - Qs)
dt

Derive and solve the relevant differential equation to get a function for P in terms of t and use the solution to explain how close price will be to its equilibrium value after seven time periods.

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Microeconomics: The demand and supply functions in a competitive market are
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