A company needs to determine the replacement policy for a machine that is currently four years old for
the next four years (n=4). During the time horizon, each year, the company can decide between keeping
the machine for one more year or replacing it immediately and working during that year with a new
device. The company policy says that a 6-year-old machine must be replaced. The cost of a new machine
is $150,000. The following table summarizes the data relevant to the problem:

a)Show the corresponding stage and state diagram. Start the graph at the 1st year

b)show the table information in iteration

c)report the optimal policy for the next five years(I,e, at the current tine), as well as the total benefit associated with the such policy

Machine Age, t (years) 0 123456 Income, r(t) ($) 45,584 41,025 32,820 22,974 13,784 10,767 7,286 Operation Cost, c(t) ($) 350 700 1,500 1,700 1,900 2,300 3,000 Sell Value, s(t) ($) 80,000 65,000 52,000 25,000 10,000 2,500