Productivity. The manager of a crew that installs wood floors has tracked the crew's output over the past several weeks. Each worker works 35 hours per week and earns $19 per hour. The wholesale cost of lumber to the company is foot, and the company charges its customers $21 per square foot of flooring installed. Week Crew Size Lumber Used (sq. ft Flooring Installed Sq ft 1 6 480 430 2 4 381 335 3 2 228 260 4 5 487 525 A. Calculate labor productivity for each of the weeks shown. B. Suppose that in addition to labor cost and wholesale lumber cost, the firm's overhead is 140% of its labor cost. Calculate multi-factor productivity for each week.

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.