A new sports car sells for $40,000. The value of the car decreases by 12% annually. After how many years will it be worth half of its selling price

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

Refers to the way we conduct ourselves

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.