The Clear Music Company produces and sells a desktop speaker for $100. The company has the capacity to produce 50,000 speakers each period. At capacity, the costs assigned to each unit are as follows:

unit level costs $45

product level costs $15

facility level costs $5

The company has received a special order for 1,000 speakers. If this order is accepted, the company will have to spend $10,000 on additional costs. Assuming that no sales to regular customers will be lost if the order is accepted, at what selling price will the company be indifferent between accepting and rejecting the special order?

A. $100

B. $55

C. $45

D. $65

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.