Lego 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 cos information. Lego is considering the following three strategies: - Plan 1: A constant workforce, daily production nate = 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 subcontricting - Plan 3: Hire and lay off workers as needed to produce exact requirements. Plense answer the following questions: (hint: all numbers are integer, no decimal places are necded) The average requirements (average daily demand) is units/day. For Plan 1: (hint: the ending inventory in May should be 80) 1. The monthly inventory change in January is units. 2. The ending inventory in April is 3. The ending inventory in Jtane is units. 4. The total inventory carrying cost is $ 5. The total cost is S For Plan 2: (hint: the total labor cost should be $80000 ). 1. Lego needs to hire workers to maintain the workforce. 2. The production mate is units/ay. 3. The total in-house production is units. 1. Lego 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: (hint: the hiring cost and layoff cost in April is $0 ). 1. The total hiring cost is $ 2. The total layoff cost is $ 3. The total cost is S Plan is the best plan