Suppose Ishmael and Santiago are the only two fishermen who fish in Lake Hardin. Each must choose between fishing for 20 hours per week or for 40 hours per week. If both choose to fish for 20 hours per week, then each can earn a profit of $3,000 per week. If both choose to fish for 40 hours per week, then each can earn a profit of $2,000 per week. If Santiago fishes for 40 hours per week, and Ishmael fishes for 20 hours per week, then Santiago can earn a profit of $4,000 per week, and Ishmael can earn a profit of $1,000 per week. If Ishmael fishes for 40 hours per week, and Santiago fishes for 20 hours per week, then Ishm

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.