Apension fund has an average duration of its liabilities equal to 15 years. the fund is looking at 5-year maturity zero-coupon bonds and 4% yield perpetuities to immunize its interest rate risk. how much of its portfolio should it allocate to the zero-coupon bonds to immunize if there are no other assets funding the plan?

The market price of cheeseburgers in a college town increased recently, and the students in an economics class are debating the cause of the price increase. some students suggest that the price increased because the price of beef, an important ingredient for making cheeseburgers, has increased. other students attribute the increase in the price of cheeseburgers to a recent increase in college student enrollment.1. the first group of students thinks the increase in the price of cheeseburgers is due to the fact that the price of beef, an important ingredient for making cheeseburgers, has increased. (what happened to demand and supply, shift to the right or left)2. the second group of students attributes the increase in the price of cheeseburgers to the increase in college student enrollment. (what happens to demand and supply, shift to the right or left)3. suppose that both of the events you analyzed above are partly responsible for the increase in the price of cheeseburgers. based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of cheeseburgers? (choose a, b,c, or d)a)if the price increase was small, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.b)if the equilibrium quantity of cheeseburgers decreases, then the demand shift in the market for cheeseburgers must have been larger than the supply shift.c)if the equilibrium quantity of cheeseburgers decreases, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.d)whichever change occurred first must have been the primary cause of the change in the price of cheeseburgers.

Abakery wants to determine how many trays of doughnuts it should prepare each day. demand is normal with a mean of 5 trays and standard deviation of 1 tray. if the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? assume doughnuts have no salvage value after the day is complete.

Dollar shave club is an ecommerce start-up that delivers razors to its subscribers by mail. by doing this, dollar shave club is using a(n) to disrupt an existing market.a. innovation ecosystem b. architectural innovation c. business model innovation d. incremental innovation