Compute the amount of raw materials used during November if $31,500 of raw materials were purchased during the month and if the inventories were as follows:

Inventories Balance November 1 Balance November 30

Raw materials $7,600 $4,300

Work in process $6,300 $7,800

Finished goods $10,300 $12,300

Alinguist had a gross income of 53,350 last year. if 17.9% of his income got witheld for federal income tax, how much of the linguist's pay got witheld for federal income tax last year?

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.

The year-end financial statements of calloway company contained the following elements and corresponding amounts: assets = $34,000; liabilities = ? ; common stock = $6,400; revenue = $13,800; dividends = $1,450; beginning retained earnings = $4,450; ending retained earnings = $8,400. based on this information, the amount of expenses on calloway's income statement was