Margaret owns a stuffed animal shop. at first, it is just she and her daughter allison hand-sewing stuffed bears, stuffed sharks, and stuffed giraffes in the spare bedroom. over time, margaret decides to rent a larger shop and hire more workers to out, increasing to a staff of 20 people. everything is still hand sewn. she notices, however, that her stuffed animal output increased much more than tenfold despite her work force increasing by that amount. however, any more than 20 workers slows down production. this is an example of o ncreasing marginal productivity o economies of scale o alternative production technologies o increased average cost.

Chipotle mexican grill, the american mexican food chain restaurant, opened its first restaurant in the united states in 1993. in 2010, chipotle opened its first restaurant in the united kingdom in london on charing cross. by late may 2013, the company had 6 restaurants in london, but they have not been doing well even though the british have taken a liking to mexican food (boyle, 2013). why has this successful u. s. chain not seen the same success overseas? if you were chipotle's ceo, how would you fix this situation? what is an alternative means of venturing outside of its domestic markets that may allow for a competitive advantage? then, pick a company that has not yet expanded overseas, or if it has expanded, suggest a different strategy for entrance into an overseas market that you feel would be more strategic for the company. research its rivals in the global marketplace and market conditions in the overseas market you are targeting. justify your recommended entry strategy based on these industry and market conditions.

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.