Pam is in need of cash right now and wants to sell the rights to a $1,000 cash flow that she will receive 5 years from today. If the discount rate for such a cash flow is 9.5%, then what is the fair price that someone should be willing to pay Pam today for rights to that future cash flow?

You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]

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.