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.

Goals that are overly ambitious can discourage employees and decrease motivation, yet the idea of stretch goals is proposed as a way to get people fired up and motivated. as a manager, how might you decide where to draw the line between a “good” stretch goal and a “bad” one that is unrealistic?

Alocation analysis has been narrowed down to two locations, akron and boston. the main factors in the decision will be the supply of raw materials, which has a weight of .50, transportation cost, which has a weight of .40, and labor cost, which has a weight of .10. the scores for raw materials, transportation, and labor are for akron 60, 80, and 70, respectively; for boston 70, 50, and 90, respectively. given this information and a minimum acceptable composite score of 75, we can say that the manager should:

In allentown, pennsylvania, in the summer of 2014, the average price of a gallon of gasoline was $3.68long dasha 22-cent increase from the year before. many consumers were upset by the increase. one was quoted in a local newspaper as saying, "it's crazy. the government should step in." source: sam kennedy, "valley feeling pain at the pump," (allentown, pa) morning call, june 21, 2014. suppose the government had stepped in and imposed a price ceiling equal to old price of $3.46 per gallon. a. using the line drawing tool, draw and label the price ceiling. carefully follow the instructions above, and only draw the required object.