Board Games, Inc. makes board games. The following data pertains to the last six months:Direct Labor HoursManufacturing OverheadMonth 145,000$295,000Month 260,000$320,000Month 357,000$323,000Month 452,000$247,250Month 534,000$178,200Month 625,000$162,500Based on this data, what is the linear cost equation?

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.