Suppose that in 1994 the total output in a single-good economy was 10,000 buckets of chicken. Also suppose that in 1994 each bucket of chicken was priced at $10. Finally, assume that in 2015 the price per bucket of chicken was $20 and that 22,000 buckets were produced. Required:
a. Determine the GDP price index for 1984, using 2005 as the base year.
b. What were the amounts of real GDP in 1984 and 2005?

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.