Krier Industries has just completed its sales forecasts and its marketing department estimates that the company will sell 45,600 units during the upcoming year. In the past, management has maintained inventories of finished goods at approximately 3 months' sales. However, the estimated inventory at the start of the year of the budget period is only 7,600 units. Sales occur evenly throughout the year. What is the estimated production level (units) for the first month of the upcoming budget year

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.