L & M loaned Joan $400 so that she could buy her textbooks for the current semester. L & M's terms for repayment of the loan (including interest) are $200 in two months, $200 in four months, and another $100 at the end of the fifth month. The legal maximum rate of interest on this type of loan is 6 percent per annum. L & M's loan is usurious. a) trueb) false

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.