Chick-fil-A is preparing its aggregate plan for the first six months of 2023. The tables below contain the monthly demand forecast, working days per month, and cost information. \begin{tabular}{|l|c|} \hline Inventory carrying cost & 15 per unit per month \\ \hline Subcontracting cost per unit & 30 per unit \\ \hline Regular working hours per day & 8 hours \\ \hline Labor-hours to produce a unit & 2 hours/unit \\ \hline Average pay rate & 10 per hour \\ \hline Overtime pay rate & 15 per hour \\ \hline Cost of increasing daily production rate (hiring and training) & 150 per unit \\ \hline Cost of decreasing daily production rate (layoffs) & 200 per unit \\ \hline \end{tabular} The company is considering the following three strategies: - Plan 1: A constant workforce, daily production rate = average requirements - Plan 2: Main a constant workforce at a necessary level to meet the lowest demand month, and to meet all demand above this level by subcontracting. - Plan 3: Hire and layoff workers as needed to produce exact requirements. Please answer the following questions: (hint: all numbers are integer, no decimal places are needed) The average requirements (average daily demand) is units/day. For Plan 1, 1. The monthly inventory change in February is units. 2. The monthly inventory change in May is units. 3. The ending inventory in March is units. 4. The total inventory carrying cost is $ 5. The total cost is $ 1. Chick-fil-A needs to hire workers to maintain the workforce. 2. The production rate is units/day. 3. The total in-house production is units. 4. The total subcontracting cost is $ 5. The total cost is $ For plan 3: 1. The total hiring cost is $ 2. The total layoff cost is $ 3. The total cost is $ Plan is the best plan. Please fill the bank with 1,2 , or 3