An airline company must plan its fleet capacity and its long-term schedule of aircraft usage. for one flight segment, the average number of customers per day is 70, which represents a 65 percent utilization rate of the equipment assigned to the flight segment. if demand is expected to increase to 84 customers for this flight segment in three years, what capacity requirement should be planned? assume that management deems that a capacity cushion of 30 percent is appropriate.

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.