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The ISTE Company has projected the following demand for their Artificial Intelligence integrated Education Assistant Robot (RobISTE); 1st Month 650, 1nd Month 600, 3rd Month 750, 4th Month 780, 5th Month 800, and 6th Month 900. There are currently 18 workers on the RobISTE production line, each capable of producing 30 RobISTE per month on regular time and extra 8 RobISTE per month using overtime. A RobISTE produced regular time costs 2500 TL (labor, raw material and managerial costs included), and overtime production requires an extra 780 TL for each RobISTE. The company can change their worker number using hiring/firing strategies to balance the demand for each month. The hiring costs 5000 TL for each worker and firing costs 7000 TL for each worker. They can use inventor strategy. Any RobISTE remaining in inventory at the end of a month costs 400 TL per month. On the other hand, the RobISTE is a kind of very specific robot and at the end of the 6-month period the company wants that the inventory level is 0 and total demand is met with the total production. Prepare a production plan which aims the minimum number of hiring/firing procedure. Calculate the total cost for this plan. (31 Points of 100)
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