In 200 years an asteroid will destroy Florida. Our only chance to stop the destruction is to launch a missile today to intercept the asteroid. Assume that the nominal value of Florida in 200 years will be $2 trillion. Assume a discount rate of 7%. Let the cost of the missile today be $X . Write a mathematical equation that if true would mean that launching the missile passes a cost-benefit test. (Do not calculate $X explicitly.) Explain each part of your equation in a few words.

Qwest airlines has implemented a program to recycle all plastic drink cups used on their aircraft. their goal is to generate $7 million by the end of the recycle program's five-year life. each recycled cup can be sold for $0.005 (1/2 cent). a. how many cups must be recycled annually to meet this goal? assume uniform annual plastic cup usage and a 0% interest rate. b. repeat part (a) when the annual interest rate is 12%. c. why is the answer to part (b) less than the answer to part (a)?

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.

Camping gear, inc. had 500 units of inventory on hand at the end of the year. these were recorded at a cost of $ 13 each using the lastminusin, firstminusout (lifo) method. the current replacement cost is $ 9 per unit. the selling price charged by camping gear, inc. for each finished product is $ 14. as a result of recording the adjusting entry as per the rule, the gross profit will