Suppose the target range for the federal funds rate is 1.5 to 2 percent but that the equilibrium federal funds rate is currently 1.7 percent. Assume that the equilibrium federal funds rate falls (rises) by 1 percent for each $120 billion in repo (reverse repo) bond transactions the Fed undertakes. If the Fed wishes to raise the equilibrium federal funds rate to the top end of the target range, will it repo or reverse repo bonds to non-bank financial firms? How much will it have to repo or reverse repo?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.