Not all of the 100 customers who walk into the C&A store per day will make a purchase. About 20% come to browse but not buy, 10% need assistance to complete a purchase, and 5% need assistance but leave without making a purchase. The other 65% purchase something without requiring assistance. C&A has one greeter (who greets every customer), two assistants (who deal with customers who need assistance), and two cashiers (who serve customers who purchase something). What is the total demand rate per day for the greeter?

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.