Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 100,000 shares of common stock outstanding as of the beginning of 2021. Power Drive has the following transactions affecting stockholders' equity in 2021.

March 1 Issues 46,000 additional shares of $1 par value common stock for $43 per share.
May 10 Purchases 4,100 shares of treasury stock for $46 per share.
June 1 Declares a cash dividend of $1.05 per share to all stockholders of record on June 15. (Hint: Dividends are not paid on treasury stock.)
July 1 Pays the cash dividend declared on June 1.
October 21 Resells 2,050 shares of treasury stock purchased on May 10 for $51 per share.

Required:
Record each of these transctions.

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.