Lancelot Corporation manufactures tennis gear and uses budgeted​ machine-hours to allocate variable manufacturing overhead. The following information relates to the​ company's manufacturing overhead​ data: Budgeted output units ​3,000 units Budgeted​ machine-hours ​15,000 hours Budgeted variable manufacturing overhead costs for​ 3,000 units ​$180,000 Actual output units produced ​3,350 units Actual​ machine-hours used ​14,700 hours Actual variable manufacturing overhead costs ​$250,000 What is the​ flexible-budget variance for variable manufacturing​ overhead?

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.