Assume that candle wax is traded in a perfectly competitive market in which the demand curve captures buyers' full willingness to pay while the supply curve reflects all production costs. For each of the following situations, indicate whether the total output should be increased, decreased, or kept the same in order to achieve allocative and productive efficiency.
Total surplus is at a maximum:

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.