Jamison Company has two service departments and two producing departments. Square footage of space occupied by each department follows: Custodial services 2,600 feet General administration 4,600 feet Producing Department A 9,600 feet Producing Department B 9,600 feet 26,400 feet The department costs of Custodial Services are allocated on a basis of square footage of space. If Custodial Services costs are budgeted at $54,000, the amount of cost allocated to General Administration under the direct method would be:

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.