Manufacturing Costs
1. **State the problem:** We need to calculate the total manufacturing costs for Job 123, which includes direct materials, direct labor, and manufacturing overhead for Departments A and B.
2. **Given data:**
- Predetermined overhead rate for Dept. A = 200% of direct labor cost
- Predetermined overhead rate for Dept. B = 50% of direct labor cost
- Dept. A direct materials = 25000
- Dept. B direct materials = 5000
- Dept. B direct labor = 30000
- Dept. A manufacturing overhead = 40000
- Dept. A direct labor = unknown
- Dept. B manufacturing overhead = unknown
3. **Calculate Dept. A direct labor cost:**
Since overhead rate = 200% of direct labor cost, and overhead is 40000,
$$40000 = 2 \times \text{Dept. A direct labor}$$
So,
$$\text{Dept. A direct labor} = \frac{40000}{2} = 20000$$
4. **Calculate Dept. B manufacturing overhead:**
Overhead rate = 50% of direct labor cost, direct labor = 30000,
$$\text{Dept. B overhead} = 0.5 \times 30000 = 15000$$
5. **Calculate total manufacturing costs:**
Sum of direct materials, direct labor, and overhead for both departments:
$$\text{Total cost} = (25000 + 20000 + 40000) + (5000 + 30000 + 15000)$$
$$= 85000 + 50000 = 135000$$
**Final answer:** The total manufacturing cost for Job 123 is 135000.