Questions: Assume the following: 1. Estimated direct labor hours used to calculate the predetermined overhead rate = 19,750 2. The manufacturing overhead applied to production = 105,000 3. The total direct labor hours actually worked during the period = 21,000. What is the estimated total manufacturing overhead cost for the period? Multiple Choice 98,750 108,750 118,750 100,750

Assume the following: 1. Estimated direct labor hours used to calculate the predetermined overhead rate = 19,750 2. The manufacturing overhead applied to production = 105,000 3. The total direct labor hours actually worked during the period = 21,000. What is the estimated total manufacturing overhead cost for the period? Multiple Choice 98,750 108,750 118,750 100,750
Transcript text: Assume the following: 1. Estimated direct labor hours used to calculate the predetermined overhead rate $=19,750$ 2. The manufacturing overhead applied to production $=\$ 105,000$ 3. The total direct labor hours actually worked during the period $=21,000$. What is the estimated total manufacturing overhead cost for the period? Multiple Choice \$98,750 \$108,750 \$118,750 \$100,750
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Solution

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Solution Steps

To find the estimated total manufacturing overhead cost for the period, we need to calculate the predetermined overhead rate using the estimated direct labor hours and the manufacturing overhead applied to production. Then, we use this rate to estimate the total manufacturing overhead cost based on the actual direct labor hours worked.

  1. Calculate the predetermined overhead rate by dividing the manufacturing overhead applied to production by the estimated direct labor hours.
  2. Multiply the predetermined overhead rate by the actual direct labor hours worked to find the estimated total manufacturing overhead cost.
Step 1: Calculate the Predetermined Overhead Rate

The predetermined overhead rate (\( POR \)) is calculated using the formula:

\[ POR = \frac{\text{Manufacturing Overhead Applied}}{\text{Estimated Direct Labor Hours}} \]

Substituting the given values:

\[ POR = \frac{105000}{19750} \approx 5.3165 \]

Step 2: Estimate Total Manufacturing Overhead Cost

The estimated total manufacturing overhead cost (\( ETMOC \)) is calculated by multiplying the predetermined overhead rate by the actual direct labor hours worked:

\[ ETMOC = POR \times \text{Actual Direct Labor Hours} \]

Substituting the values:

\[ ETMOC = 5.3165 \times 21000 \approx 111645.5696 \]

Final Answer

The estimated total manufacturing overhead cost for the period is

\[ \boxed{111645.57} \]

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