Joint products A and B emerge from common processing costs of $100,000 and yield 2,000 units of Product A and 1,000 units of Product B. Product A can be sold for $100 per unit. Product B can be sold for $120 per unit. The amount of joint costs allocated to Product A (if joint costs are allocated on the basis of relative sales value) will be $ (rounded to nearest dollar).

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.