Pat earns $25,000 per year (after taxes), and pat's spouse, chris, earns $35,000 (after taxes). they have two pre-school children. childcare for their children costs $12,000 per year. pat has decided to stay home and take care of the children. pat must:
a. value spending time with the children by more than $25,000.
b. value spending time with the children by more than $12,000.
c. value spending time with the children by more than $13,000.
d. value spending time with the children as much as does chris

Azster inc. recorded sales revenue for the year that ended december 31, 2014 as $67,000. interest revenue of $5,300 and expenses of $14,000 were also recorded for the same period. what is aster’s net profit or loss?

Evaluate a real situation between two economic actors; it could be any scenario: two competing businesses, two countries in negotiations, two kids trading baseball cards, you and another person involved in an exchange or anything else. use game theory to analyze the situation and the outcome (or potential outcome). be sure to explain the incentives, benefits and risks each face.

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.