A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money wold he have spent

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.

Joint cost cheyenne, inc. produces three products from a common input. the joint costs for a typical quarter follow: direct materials $45,000 direct labor 55,000 overhead 60,000 the revenues from each product are as follows: product a $75,000 product b 80,000 product c 30,000 management is considering processing product a beyond the split-off point, which would increase the sales value of product a to $116,000. however, to process product a further means that the company must rent some special equipment costing $17,500 per quarter. additional materials and labor also needed would cost $12,650 per quarter. a. what is the gross profit currently being earned by the three products for one quarter? $answer b. what is the effect on quarterly profits if the company decides to process product a further? $answer

Suppose an investor starts with a portfolio consisting of one randomly selected stock. as more and more randomly selected stocks are added to the portfolio, what happens to the portfolio's risk