University Printers has two service departments (Maintenance and Personnel) and two operating departments (Printing and Developing). Management has decided to allocate maintenance costs on the basis of machine-hours in each department and personnel costs on the basis of labor-hours worked by the employees in each. The following data appear in the company records for the current period:

Maintenance Personnel Printing Developing
Machine-hours — 1,000 1,000 3,000
Labor-hours 500 — 500 2,000
Department direct costs $ 13,000 $ 37,000 $ 46,300 $ 30,000

University Printers estimates that the variable costs in the Personnel Department total $16,000 and in the Maintenance Department variable costs total $9,400. Avoidable fixed costs in the Personnel Department are $6,000.

Required:

If University Printers outsources the Personnel Department functions, what is the maximum it can pay an outside vendor without increasing total costs

Risk is the risk of a decline in a bond's value due to an increase in interest rates. this risk is higher on bonds that have long maturities than on bonds that will mature in the near future. risk is the risk that a decline in interest rates will lead to a decline in income from a bond portfolio. this risk is obviously high on callable bonds. it is also high on short-term bonds because the shorter the bond's maturity, the fewer the years before the relatively high old-coupon bonds will be replaced with new low-coupon issues. which type of risk is more relevant to an investor depends on the investor's , which is the period of time an investor plans to hold a particular investment. longer maturity bonds have high risk but low risk, while higher coupon bonds have a higher level of risk and a lower level of risk. to account for the effects related to both a bond's maturity and coupon, many analysts focus on a measure called , which is the weighted average of the time it takes to receive each of the bond's cash flows. conceptual question: which of the following bonds would have the largest duration? a)10year-zero coupon bonds b)10year-7% annual coupon bonds c)10year-3% annual coupon bonds d)5year-3% annual coupon bonds e)3year-7% annual coupon bonds