"it is to be hoped that the normal balance of executive and legislative authority may be wholly adequate to meet the unprecedented task before us. but it may be that an unprecedented demand and need for delayed action may call for temporary departure from that normal balance of public procedure. i am prepared under my constitutional duty to recommend the measures that a stricken nation in the midst of a stricken world may require. these measures, or such other measures as the congress may build out of its experience and wisdom, i shall seek, within my constitutional authority, to bring to speedy adoption." --franklin d. roosevelt, first inaugural address, 1933. in order to solve the issues he talked about in his first inaugural address, roosevelt

Suppose the marginal damage and marginal benefit curves in a polluted neighborhood are md = p/3 and mb = 4 – p. also, suppose that transactions costs are low, so that the consumers and the firm can bargain. we saw that in this case, the socially-optimal level of pollution is achieved. start by computing the socially-optimal p. then, for each of the following cases, compute the amount of money transferred through the bargaining process, and indicate who pays whom (i. e., whether consumers pay the firm, or vice versa). also, compute the gains to each party relative to the status quo (i. e., the starting point of the bargaining process).a)consumers have the right to clean air; firm is dominant in the bargaining process. b)consumers have the right to clean air; consumers are dominant in the bargaining process. c)firm has the right to pollute; firm is dominant in the bargaining process. d)firm has the right to pollute; consumers are dominant in the bargaining proces

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.

An investor purchases 500 shares of nevada industries common stock for $22.00 per share today. at t = 1 year, this investor receives a $0.42 per share dividend (which is not reinvested) on the 500 shares and purchases an additional 500 shares for $24.75 per share. at t = 2 years, he receives another $0.42 (not reinvested) per share dividend on 1,000 shares and purchases 600 more shares for $31.25 per share. at t = 3 years, he sells 1,000 of the shares for $35.50 per share and the remaining 600 shares at $36.00 per share, but receives no dividends. assuming no commissions or taxes, the money-weighted rate of return received on this investment is closest to: