1. Given: (x is number of items) Demand function: d(x)=2000.5x Supply function: s(x)=0.3x Find the equilibrium quantity: Find the consumers surplus at the equilibrium quantity:

2.Given: (x is number of items) Demand function: d(x)=1936/x Supply function: s(x)=4/x Find the equilibrium quantity: items Find the consumers surplus at the equilibrium quantity: $

3.Given: (x is number of items) Demand function: d(x)=4500/x Supply function: s(x)=5/x Find the equilibrium quantity: items Find the producer surplus at the equilibrium quantity: $

4.Given: (x is number of items) Demand function: d(x)=247.50.5x2 Supply function: s(x)=0.6x2 Find the equilibrium quantity: Find the consumers surplus at the equilibrium quantity

5.Find the accumulated present value of an investment over a 9 year period if there is a continuous money flow of $9,000 per year and the interest rate is 1.5% compounded continuously.

6. A company is considering expanding their production capabilities with a new machine that costs $76,000 and has a projected lifespan of 9 years. They estimate the increased production will provide a constant $9,000 per year of additional income. Money can earn 1.9% per year, compounded continuously. Should the company buy the machine? $ over the life of the machine

7.Find the present value of a continuous income stream F(t)=10+7t, where t is in years and F is in thousands of dollars per year, for 10 years, if money can earn 2.2% annual interest, compounded continuously. Present value = thousand dollars.