A company is investigating the relationship between the number of paper clips it purchases (x) and its net income (y). A sharp quant methods analyst obtained a least squares regression line from available data, y= $106,729 - 0.8x. If x = 3000 paper clips are planned to be purchased next month. Predict next month's net income.

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.

If a price increase from $5 to $7 causes quantity demanded to fall from 150 to 100 and vice-versa, what is the absolute value of the own price elasticity at a price of $7? note that the question is about the price point of $7, and not $5.

True or false: suppose that the hypothetical country of paddyland has a chronic scarcity of rice, its staple grain. this implies that if paddyland has a market economy, rice will be available only for a price.