Waterways packages some of its products into sets for home installations. One set (small) sells for $77 with variable costs of production for the set at $50. Another set (large) sells for $152 with variable costs of $100. The parts for the $77 set take 9 machine hours to produce. The parts for the $150 set take 20 machine hours to produce. Given the information above, and assuming all of the package sets produced can be sold each month, illustrate the best use of machine hours.

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.