Consider the economic model below, where P is the price of a single item on the
ID: 3286558 • Letter: C
Question
Consider the economic model below, where P is the price of a single item on the market and Q is the quantity of the item available on the market. Both P and Q are functions of time that can be viewed as two interacting species, and a, b, c, and f are positive constants. dP / dt = aP dQ / dt =cQ(fP - Q) If a= 1, b= 18,000, c= 1, and f= 10, find the equilibrium points of this system and classify each equilibrium point with respect to stability if possible. What are the equilibrium points of the given system? (P, Q) = (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)Explanation / Answer
sorry i had forgotten to take into account the 10 of the Q=10P do rate me now.Its was just a calculation error.rest process if correct.Do rate me 5 star please!
dP/dt=0
P(18000/Q-P)=0
p=0 OR 18000=PQ
DQ/DT=0 Q(10P-Q)=0
10P=Q
18000=P*10P P^2=1800
P=sqrt(1800)Q=10P=10*sqrt(1800)=stable
unstable is the other case where P=0 and Q=0
=(0,0)