Rabapples, Inc. purchases and sells boxes of dried fruit. The following information summarizes its operating activities for the year: Selling Expenses $ 9 comma 600 Merchandise Inventory on December 31 33 comma 000 Merchandise Inventory on January 1 47 comma 000 Purchases of merchandise 83 comma 500 Rent for store 12 comma 100 Sales commissions 7 comma 300 Sales revenue 168 comma 500 What is the cost per box of dry fruits if Crabapples sold 4 comma 000 boxes of dry fruit during the year? (Round your answer to the nearest cent.)

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.