On december 12, 2018, pace electronics received $43,200 from a customer toward a cash sale of $432,000 of diodes to be completed on january 16, 2019. what journal entries should pace record on december 12 and january 16? (if no entry is required for a transaction/event, select "no journal entry required" in the first account field.)

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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.

Akika corporation started as a small firm and has grown substantially in the past decade. its interests span from electronics to real estate and aviation. akika's board of directors have now decided to create independent business units for and categorize the actions performed under each domain. each business unit will have distinct roles and responsibilities. which of the 14 principles of fayol does this exemplify?