G Knowledge Check 03 Vineyard Corporation, a manufacturer of fine wines, began the year with 20,000 bottles in inventory. The company estimated the budgeted sales for the four quarters of the current year to be 200,000 bottles, 150,000 bottles, 250,000 bottles, and 400,000 bottles, respectively. The management feels that an ending inventory of 10% of the subsequent quarter's sales is appropriate. What are the production needs for the first quarter? 160,000 bottles 175,000 bottles 195,000 bottles 215,000 bottles

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.