The following equation summarizes the trend of quarterly sales of condominiums over a long cycle. Sales also exhibit seasonal variation. Ft = 40 - 6.5t + 2t2
Ft = Unit sales
Where t = 0 the first quarter of last year
Quarter Relative
1 .95
2 .90
3 .45
4 1.70
Prepare a forecast of quarterly sales for next year and the first quarter of the year following that.
Quarter Forecast
1
2
3
4
1

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.