Based on the regression model, the expected daily production volume with 112 factory workers is 118,846 units. the human resource department noted that 123,415 units were produced on the most recent day on which there were 112 factory workers. what is the residual of this data point?

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.

Ski powder resort ends its fiscal year on april 30. the business adjusts its accounts monthly, but closes them only at year-end (april 30). the resort's busy season is from december 1 through march 31. adrian pride, the resort's chief financial officer, the museums a close watch on lift ticket revenue and cash. the balances of these accounts at the end of each of the last five months are as follows:

German brothels recently began offering a monthly subscription service for multiple purchasers. if you thought that the brothels' encouragement of prostitution was immoral to begin with, would you consider this pricing plan to be even more immoral? suppose a particular patron at a german brothel has the following willingness-to-pay schedule for services at the brothel, per session. session willingness to pay 1st $84 2nd $72 3rd $60 4th $48 5th $36 6th $24 suppose this consumer would not demand any more sessions, even for free. also assume that the marginal cost to the brothel, per session, is constant at $12. at a price of $78.00 per session, the number of sessions demanded by this consumer would be . at this price and quantity, consumer surplus is $ and producer surplus is $ . suppose the brothel has devised a new pricing scheme for consumers who demand more than 1 session. this pricing scheme is a subscription service, whereby consumers can pay a flat fee of $259.20 and can have up to 6 sessions total. using this subscription pricing model, this consumer would demand sessions. under this scenario, consumer surplus is $ and producer surplus is $ . (hint: for consumer surplus, consider how much total value the consumer places on all sessions, versus the total price paid.)