Final answer:
The standard cost per unit for Jake’s Cheese Company is calculated by adding the costs of direct materials ($24.00 per unit), direct labor ($5.00 per unit), and variable manufacturing overhead ($2.50 per unit), resulting in a total of $31.50 per unit.
Step-by-step explanation:
Standard Cost Per Unit Calculation
The standard cost per unit for direct materials, direct labor, and variable manufacturing overhead for Jake’s Cheese Company can be calculated as follows:
- Direct Materials Cost: The cost is $8.00 per pound and the standard quantity is 3.0 pounds per unit. Therefore, the standard cost for direct materials per unit is 3.0 pounds × $8.00 per pound = $24.00 per unit.
- Direct Labor Cost: The cost is $10.00 per hour and the standard time is 0.50 hours per unit. Thus, the standard cost for direct labor per unit is 0.50 hours × $10.00 per hour = $5.00 per unit.
- Variable Manufacturing Overhead Cost: This is applied on direct labor hours at a rate of $5.00 per hour. Hence the standard variable overhead per unit is 0.50 hours × $5.00 per hour = $2.50 per unit.
By adding these costs together, we get the total standard cost per unit. Thus, the total standard cost per unit is $24.00 + $5.00 + $2.50 = $31.50 per unit.