Real GDP per capita in the United States grew from about$6,000 in 1900 to about $47,041 in 2009, which represents an annual growth rate of 1.91 percent.

real-time data provide by federal reserve economc data (FRED), Federal Reserve Bank of Saint Louis.

a. If the United States continues to grow at this rate, it will take _36.63 year for real GDP per capita to double.

(Enter your response rounded to two decimal places.)

b. If government economic policies meant to stimulate economic growth result in the annual growth rate increasing to

2.41 percent, it will take years for real GDP per capita to double.(Enteryour response rounded to two decimal places.)

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1