Answer to Question #106489 in Microeconomics for De

Question

the inverse demand functions of two towns for a product are given as
( Q1/2)^1/4=P and (2/10-Q1/10)=P find the market demand of these two towns

Answer 1

Market demand is the summation of the individual demand curves. (Q1/2)^1/4= P

Re-arranging in terms of Q, we get by taking exponential power on the other side,

Q₁/2 = P⁴

Q₁ = 2P⁴

(2/10-Q1/10)=P $\to$ 10P = 2-Q₁ → Q₁ = 2 - 10P

2P⁴ = 2 - 10P

P⁴ = 1 - 5P

P⁴ + 5P = 1