Avocado, Inc. purchased a $100,000 machine and deducted $70,000 of depreciation before selling it for $80,000 (after holding it for more than 1 year). How much gain does Avocado recognize

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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.

Zara, a global retail and apparel manufacturer based in spain that has successfully implemented this idea by having a continuous flow of new products that are typically limited in supply. zara has created a system that draws its clientèle into its stores, on average, 17 times per year as compared to 4 times per year for most stores. how is zara using it to gain competitive advantage? what specific technologies are used by zara to maintain this advantage over its competition?