Wood dreams makes hand crafted furniture in its retail stores. the furniture maker has recently installed a new assembly process, including a new sander and polisher. with this new system production has increased to 130 pieces of furniture per day from the previous 47 pieces of furniture per day. the number of defective items per day has dropped from 5 to 2 per day. the production facility operates strictly 8 hours per day. 5 people work daily in the plant. what is the change in productivity of non-defective units for wood dreams using the new process? round to 2 decimal places with no %.

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.