Question
Given the following, compute the standard cost per widget.
Direct materials per unit
4 pounds
Direct material cost
$1.25 per pound
Direct labor per unit
1.5 hours
Direct labor rate
$10.00 per hour
Variable overhead rate
$4.00 per hour
Multiple choice question.
$24.00
$20.00
$26.00
$21.00
Direct materials per unit
4 pounds
Direct material cost
$1.25 per pound
Direct labor per unit
1.5 hours
Direct labor rate
$10.00 per hour
Variable overhead rate
$4.00 per hour
Multiple choice question.
$24.00
$20.00
$26.00
$21.00
Answers
GPT-4o mini
To calculate the standard cost per widget, we need to consider the costs associated with direct materials, direct labor, and variable overhead.
### Step 1: Calculate Direct Material Cost
- Direct materials per unit: 4 pounds
- Direct material cost: $1.25 per pound
\[
\text{Direct Material Cost} = \text{Direct materials per unit} \times \text{Direct material cost}
= 4 \text{ pounds} \times \$1.25/\text{pound} = \$5.00
\]
### Step 2: Calculate Direct Labor Cost
- Direct labor per unit: 1.5 hours
- Direct labor rate: $10.00 per hour
\[
\text{Direct Labor Cost} = \text{Direct labor per unit} \times \text{Direct labor rate}
= 1.5 \text{ hours} \times \$10.00/\text{hour} = \$15.00
\]
### Step 3: Calculate Variable Overhead Cost
- Variable overhead rate: $4.00 per hour
\[
\text{Variable Overhead Cost} = \text{Direct labor per unit} \times \text{Variable overhead rate}
= 1.5 \text{ hours} \times \$4.00/\text{hour} = \$6.00
\]
### Step 4: Compute the Total Standard Cost per Widget
\[
\text{Total Standard Cost} = \text{Direct Material Cost} + \text{Direct Labor Cost} + \text{Variable Overhead Cost}
\]
\[
= \$5.00 + \$15.00 + \$6.00 = \$26.00
\]
The standard cost per widget is **$26.00**.
### Final Answer:
- **$26.00**
### Step 1: Calculate Direct Material Cost
- Direct materials per unit: 4 pounds
- Direct material cost: $1.25 per pound
\[
\text{Direct Material Cost} = \text{Direct materials per unit} \times \text{Direct material cost}
= 4 \text{ pounds} \times \$1.25/\text{pound} = \$5.00
\]
### Step 2: Calculate Direct Labor Cost
- Direct labor per unit: 1.5 hours
- Direct labor rate: $10.00 per hour
\[
\text{Direct Labor Cost} = \text{Direct labor per unit} \times \text{Direct labor rate}
= 1.5 \text{ hours} \times \$10.00/\text{hour} = \$15.00
\]
### Step 3: Calculate Variable Overhead Cost
- Variable overhead rate: $4.00 per hour
\[
\text{Variable Overhead Cost} = \text{Direct labor per unit} \times \text{Variable overhead rate}
= 1.5 \text{ hours} \times \$4.00/\text{hour} = \$6.00
\]
### Step 4: Compute the Total Standard Cost per Widget
\[
\text{Total Standard Cost} = \text{Direct Material Cost} + \text{Direct Labor Cost} + \text{Variable Overhead Cost}
\]
\[
= \$5.00 + \$15.00 + \$6.00 = \$26.00
\]
The standard cost per widget is **$26.00**.
### Final Answer:
- **$26.00**