Question

what is the equilibrium quantity given demand function: d(q) = 320 - 0.3q^2; supply function s(q) = 0.5q^2

Answer 1

q = 20

Explanation:

To find the equilibrium quantity, set the supply and demand functions equal to each other and solve for q:

320 - 0.3q^2 = 0.5q^2

Add 0.3q^2 to both sides, obtaining 320 = 0.8q^2. Next, solve for q by dividing both sides by 0.8: q^2 = 400. Then q = +√400, or q = 20.