On January 1, 2020, Sheffield Corp. issued ten-year bonds with a face amount of $4500000 and a stated interest rate of 8% payable annually on January 1. The bonds were priced to yield 11%. Present value factors are as follows: At 8% At 11% Present value of 1 for 10 periods 0.463 0.352 Present value of an ordinary annuity of 1 for 10 periods 6.710 5.889 The total issue price of the bonds was $3704040. $4140000. $4365000. $4500000.

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.