In which industry is monopolistic competition most likely to be found?

In a chapter 7 bankruptcy, a debtor:

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.

Wang distributors has an annual demand for an airport metal detector of 1 comma 350 units. the cost of a typical detector to wang is $400. carrying cost is estimated to be 19% of the unit cost, and the ordering cost is $24 per order. if ping wang, the owner, orders in quantities of 300 or more, he can get a 10% discount on the cost of the detectors. should wang take the quantity discount? \