Final answer:
To calculate the bakery's direct materials budget for the third quarter, the flour needed for production, the desired ending inventory for each month, and the beginning inventory were taken into account, leading to a total flour purchase of 2,536 pounds and a total cost of $6,340 for the quarter.
Step-by-step explanation:
To prepare the direct materials budget for the third quarter for the bakery, we need to calculate the flour requirements for each month and the entire quarter, considering their policy of having 20% of the following month's flour needs on hand at the end of each month.
July Flour Requirements
Loaves: 1,500
Flour per loaf: 1/2 pound
Total flour: 1,500 loaves × 1/2 = 750 pounds
Desired ending inventory (20% of August's needs): 1,880 loaves × 1/2 × 20% = 188 pounds
Total needs (total flour + desired ending inventory): 750 + 188 = 938 pounds
Beginning inventory: 150 pounds
Flour to purchase (total needs - beginning inventory): 938 - 150 = 788 pounds
August Flour Requirements
Loaves: 1,880
Flour per loaf: 1/2 pound
Total flour: 1,880 loaves × 1/2 = 940 pounds
Desired ending inventory (20% of September's needs): 1,680 loaves × 1/2 × 20% = 168 pounds
Total needs: 940 + 168 = 1,108 pounds
Beginning inventory (July's ending inventory): 188 pounds
Flour to purchase: 1,108 - 188 = 920 pounds
September Flour Requirements
Loaves: 1,680
Flour per loaf: 1/2 pound
Total flour: 1,680 loaves × 1/2 = 840 pounds
Desired ending inventory (20% of October's needs): 1,560 loaves × 1/2 × 20% = 156 pounds
Total needs: 840 + 156 = 996 pounds
Beginning inventory (August's ending inventory): 168 pounds
Flour to purchase: 996 - 168 = 828 pounds
Total for the Quarter
July's purchase: 788 pounds
August's purchase: 920 pounds
September's purchase: 828 pounds
Total flour to purchase for the quarter: 788 + 920 + 828 = 2,536 pounds
The cost of flour is $2.50 per pound, so the budget for the quarter will be 2,536 pounds × $2.50 = $6,340.