1.The demand function for p, in dollars, of a product is

D(p) = 200 - p²

and the supply function is

S(p) = p² + 4p.

S and D are in millions of items.

a.Find the equilibrium point.

b.Find the consumer's surplus. Include a graph with your answer.

c.Find the producer's surplus. Include a graph with your answer.

2.Continuous Money Flow. Find the total income in 8 years by a continuous money flow with a rate of f(t) = e^0.12t in hundreds of dollars per year and the present value in 8 years with r=2.5%.