On January 1, 2021, Crane Company sold property to Wildhorse Co. which originally cost Crane $2740000. There was no established exchange price for this property. Wildhorse gave Crane a $4230000 zero-interest-bearing note payable in three equal annual installments of $1410000 with the first payment due December 31, 2021. The note has no ready market. The prevailing rate of interest for a note of this type is 10%. The present value of a $4230000 note payable in three equal annual installments of $1410000 at a 10% rate of interest is $3506670. What is the amount of interest income that should be recognized by Crane in 2021, using the effective-interest method

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.