Question: The demand curve for a product has equation \(p=20{{e}^{-0.002q}}\) and the supply curve has equation \(p=0.02q+1\) for \(0\le q\le 1000\), where q is the quantity and p is the price.

(a) Which is higher, price at which 300 units are supplied or the price at which 300 units are demanded? Find both prices

(b) Sketch the graph of the supply and demand curves. Find the equilibrium price and quantity

(c) Using the equilibrium price and quantity, calculate and interpret the consumer and producer surplus