Can I have a detailed answer please? The answer requires expressions, calculations and explanations.

Q7) 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. (You should clearly define your variables and the recursion formula). b) How would the recursion be modified if hired workers cannot be used to meet worker requirements until the year following the year in which they are hired