In a market made up of two consumers, whose demand functions are P=20-2Q, what is the market demand function?

To find the market demand function in a situation where there are two consumers with the same demand function, you add the individual demands together. The given demand function for each consumer is P = 20 - 2Q.

Since there are two consumers and they have the same demand curve, the total quantity demanded at any given price can be calculated by doubling the individual quantity.

Rearranging the individual demand function gives us: Q = (20 - P) / 2. If each consumer buys Q at price P, then for two consumers, the market quantity demand, denoted as Qm, will be:

Qm = 2 * Q = 2 * (20 - P) / 2 = 20 - P.

Solving for P in terms of Qm yields P = 20 - Qm.

However, to better reflect the total quantity market demand, we need to consider Q in units of an aggregate scenario. If we replace Q in the original function P = 20 - 2Q with Qm, we find the market demand function can be rewritten as:

P = 20 - 2(Q/2) = 20 - Q.

Thus, we have reduced the terms and aggregated the