please answer all questions

1. Define Aggregate Planning and explain what it is used for (20 points) 2. Explain Master scheduling (10 points) 3. Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time and overtime, and backorders. The plan must wind up with no units in ending inventory in Period 6. Regular time capacity is 150 units per month. Overtime capacity is 20 units per month. Overtime cost is $30 per unit, backorder cost is $20 per unit, inventory holding cost is $5 per unit, regular time cost of $20 per unit, and beginning inventory is zero. Month Forecast 180 170 140 150 130 150 . 2 3 4 6 (70 points)