The aggregate inverse demand equation

Derive the aggregate inverse demand equation
Suppose there are only two individuals in the market for some product. Individual A’s inverse demand equation is P = 8 – 0.5 QD and B’s inverse demand equation is P = 10 – QD

Derive the equation showing A’s quantity demanded as a function of price. Ie: A’s demand equation
Derive B’s demand equation
Derive the aggregate (market) inverse demand equation. Ie: the equation showing price as a function of aggregate demand
Derive the aggregate (market) demand equation.

Sample Solution