The original scope of a project has cost assumptions to ensure project success. Provide a specific example from your experience or from examples in the text where a change in scope can impact the project financials. If you were the sponsor of this project, would you approve the change in scope knowing what you do now?

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.

Which of the following events could increase the demand for labor? a. an increase in the marginal productivity of workers b. a decrease in the amount of capital available for workers to use c. a decrease in the wage paid to workers d. a decrease in output price

5. understanding marginal and average tax rates consider the economy of citronia, where citizens consume only oranges. assume that oranges are priced at $1 each. the government has devised the following tax plans: plan a • consumption up to 1,000 oranges is taxed at 50%. • consumption higher than 1,000 oranges is taxed at 20%. plan b • consumption up to 2,000 oranges is taxed at 15%. • consumption higher than 2,000 oranges is taxed at 60%. use the plan a and plan b tax schemes to complete the following table by deriving the marginal and average tax rates under each tax plan at the consumption levels of 300 oranges, 1,200 oranges, and 3,000 oranges, respectively. consumption level plan a plan b (quantity of oranges) marginal tax rate average tax rate marginal tax rate average tax rate (percent) (percent) (percent) (percent) 300 1,200 3,000 complete the following table by indicating whether each plan is a progressive tax system, a proportional tax system, or a regressive tax system. progressive proportional regressive plan a plan b