Specify the stage, state, action, state transition function, contribution function, formulate the dynamic recursion, and solve using paper/pen/calculator or Matlab or Excel or any other software. 7 A company needs the following number of workers during each of the next five years: year 1, 15; year 2, 30; year 3, 10; year 4, 30; year 5, 20. At present, the company has 20 workers. Each worker is paid $30,000 per year. At the beginning of each year, workers may be hired or fired. It costs $10,000 to hire a worker and $20,000 to fire a worker. A newly hired worker can be used to meet the current year's worker requirement. During each year, 10% of all workers quit (workers who quit do not incur any firing cost). a With dynamic programming, formulate a recursion that can be used to minimize the total cost incurred in meeting the worker requirements of the next five years. b How would the recursion be modified if hired work- ers cannot be used to meet worker requirements until the year following the year in which they are hired