There are three factors that can affect the shape of the Treasury yield curve ( r*ₜ, IPₜ, and MRPₜ ) and five factors that can affect the shape of the corporate yield curve ( r*ₜ, IPₜ, MRPₜ, DRPₜ, and LPₜ ). The yield curve reflects the aggregation of the impacts from these factors. Suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. Consider all factors that affect the yield curve. Then identify which of the following shapes that the U. S. Treasury yield curve can take. Check all that apply.

a) Upward-sloping yield curve
b) Downward-sloping yield curve
c) Inverted yield curve

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1