The ABC Corporation has purchased 50 pieces of a specially designed electronic component at $2,000 per unit. In the $2,000 selling price, $1,000 represents direct labor. Instead of an 80% learning curve, the supplier believes that either a 85% or 90% learning curve will be more indicative of what will occur in the future (starting at unit 51). What would be the unit cost of labor for the next 350 units using a 85% learning curve and a 90% learning curve?

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.