# Tag Info

I think your question is a bit strange. If you have demand and supply and you want them to be equal at equilibrium (supply = demand), there should be some third variable that makes the equilibrium possible. Usually this is the price. Let $d$ be demand $s$ be supply and $i$ be the inventory. Reading your question, you have in mind something like: $$\begin{... 2 Let x = D(p) be the demand for a good if the price is equals to p. The inverse demand curve (as you would draw it) is then given by p = D^{-1}(x). It gives the price as a function of the quantity. If there is a rebate of r and if p is the price, then the consumer only pays p^\ast = p - r. Then the demand is given by:$$ x = D(p^\ast) = D(p - r). \$...