Sales Budget:
Q1:
Sales = 1,000,000 x 20% = 200,000 units
Revenue = 200,000 x $40 = $8,000,000
Q2:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000
Q3:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000
Q4:
Sales = 1,000,000 x 30% = 300,000 units
Revenue = (250,000 x $40) + (50,000 x $45) = $10,750,000
Total Revenue = $38,750,000
Production Budget:
Q1:
Production = 200,000 / (1 - 0.2) = 250,000 units
Raw Materials Required = 250,000 x 2 kg = 500,000 kg
Q2:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg
Q3:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg
Q4:
Production = 300,000 / (1 - 0.2) = 375,000 units
Raw Materials Required = 375,000 x 2 kg = 750,000 kg
Raw Materials Budget:
Q1:
Raw Materials Required = 500,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 562,500 kg
Less: Beginning inventory = 10% x 500,000 kg = 50,000 kg
Raw Materials to be Purchased = 512,500 kg x $10/kg = $5,125,000
Q2:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 562,500 kg = 56,250 kg
Raw Materials to be Purchased = 631,250 kg x $10/kg = $6,312,500
Q3:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 618,750 kg x $10/kg = $6,187,500
Q4:
Raw Materials Required = 750,000 kg
Add: Desired ending inventory = 10% x 750,000 kg = 75,000 kg
Total Raw Materials Required = 825,000 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 756,250 kg x $10/kg = $7,562,500
Therefore, the sales, production, and direct materials budgets by quarters for 2020 are as follows:
Sales Budget:
Q1: $8,000,000
Q2: $10,000,000
Q3: $10,000,000
Q4: $10,750,000
Production Budget:
Q1: 250,000 units
Q2: 312,500 units
Q3: 312,500 units
Q4: 375,000 units
Raw Materials Budget:
Q1: $5,125,000
Q2: $6,312,500
Q3: $6,187,500
Q4: $7,562,500