The troupe’s account balance first reached $500 on Day 4. The last day the account balance was $500 was Day 8. (a)Determine C(5), C(6), and C(7). Explain how you determined these amounts. (b)Estimate C(1), C(2), and C(3). Explain how you determined these amounts. (c)The stage manager said that the amount of money taken out of the account each day between Day 8 and Day 11 was the same amount of money put into the account each day between Day 0 and Day 4. Recall that Day 11 is when the balance first reached $0. Without doing any calculations, how could you show the stage manager was incorrect?.

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.

Nba all-star baron davis and his school friend, cash warren, premiered their first movie "made in america" at the sundance festival in january 2008. the movie, based on gang activity in south central los angeles, received good reviews.    source: the new york times, february 24, 2008         draw baron davis's ppf. label it ppfdavis. draw your own ppf. label it ppfmine.

Which of the following describes a situation in which there would be decreasing marginal utility? a. buying only necessities. b. buying a car to substitute for riding the bus. c. buying food in bulk to save money in the long run. d. buying a second winter coat.