Suppose there is a country in which 40% of people are below age 20, 40% are between ages 20 and 40, and 20% are between ages 40 and 60. Assume no one lives above age 60 and the fertility rate is 4. The initial population size is 100.

a. Compute the proportion of young, adult, and old after 20, 40, 60, 80, and 100 years.
b. Calculate the population growth rate over each period of 20 years.
c. Assume a country with the same population composition but with a fertility rate of 2 as a consequence of family planning policies. Do the same exercise as in (a) and (b) above. What is the effect of family planning policies after 20, 40, 60, 80, and 100 years on i) population growth and ii) the composition of the population.

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