For each separate case, record the necessary adjusting entry. a. On July 1, Lopez Company paid $2,900 for six months of insurance coverage. No adjustments have been made to the Prepaid Insurance account, and it is now December 31.

b. Zim Company has a Supplies account balance of $8,400 at the beginning of the year. During the year, it purchases $3,700 of supplies. As of December 31, a physical count of supplies shows $1,650 of supplies available.

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.