Company XYZ wants to develop a 5sies and Operations Plan for 12 months of 2024 for their Mattress product famlly. The forecasted demand for 2024f provided in the table below. There is no beginning inventory in January 2024, the regular production cipactify is 450 inits and the recutar production cost th $30 per unit, Overtime costs $12 extra and is limiked to 30 units per month. Back orders cost $40 per unit and there ba cont of $5 per month to hold a unit in inventory. On avenge, 10 hours of labor is needed to produce one mattress and each worker can work 150 hours per month. At the end of December 2023 , the company has 20 workers. The estimated cost to hire a worker is $2,000 and the estimated cont to lay off a worker is $1,600. \begin{tabular}{|l|l|} \hline May & 350 \\ \hline June & 300 \\ \hline July & 280 \\ \hline August & 300 \\ \hline September & \\ \hline October & 460 \\ \hline November & 480 \\ \hline December & 500 \\ \hline \end{tabular} 1. Develop a S&OP using the level strategy for the 12 months of the planning horizon. 2. Develop an S\&OP using the Chase strategy for the 12 months of the planning horizon. 3. Which plan should be used and why