Q thousand units of the commodity will be demanded at a price of p = D(q) dollars pre unit, while q


Question:

Q thousand units of the commodity will be demanded at a price of p = D(q) dollars pre unit, while q thousand units will be supplied by producers when the price is p = S(q).

\[D(q)=65-{{q}^{2}}\] \[S(q)=\frac{1}{3}{{q}^{2}}+2q+5\]

a) Find the equilibrium price pe (where supply equals demand)

b) Find the consumer’s surplus and the producer’s surplus at equilibrium

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