5. jerry lost her credit card and instead of reporting it right away, she decides to continue looking for it for a couple of days. on the second day, she makes the call and reports the card lost/stolen to the credit card company. she then logs into the account activity page of her credit card and sees a recent $500 purchase that was made by someone else. how much of this $500 charge will jerry have to pay?

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.