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Given the following, the standard cost of this item is $ per unit. (Enter your answer as a whole number.)   Direct materials per unit 2 poundsDirect material cost$2.50 per poundDirect labor per unit.75 hoursDirect labor rate$16.00 per hourVariable overhead rate$8.00 per hour

Question

Given the following, the standard cost of this item is perunit.(Enteryouranswerasawholenumber.)   Directmaterialsperunit 2poundsDirectmaterialcost per unit. (Enter your answer as a whole number.)   Direct materials per unit 2 poundsDirect material cost2.50 per poundDirect labor per unit.75 hoursDirect labor rate16.00perhourVariableoverheadrate16.00 per hourVariable overhead rate8.00 per hour

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Solution

To calculate the standard cost per unit, we need to consider the cost of direct materials, direct labor, and variable overhead per unit.

  1. Direct Materials Cost: We know that each unit requires 2 pounds of direct material and the cost of direct material is 2.50perpound.So,thecostofdirectmaterialsperunitis2pounds/unit2.50 per pound. So, the cost of direct materials per unit is 2 pounds/unit * 2.50/pound = $5.00/unit

  2. Direct Labor Cost: Each unit requires 0.75 hours of labor and the labor rate is 16.00perhour.So,thecostoflaborperunitis0.75hours/unit16.00 per hour. So, the cost of labor per unit is 0.75 hours/unit * 16.00/hour = $12.00/unit

  3. Variable Overhead Cost: The variable overhead is applied based on the direct labor hours. So, the variable overhead cost per unit is 0.75 hours/unit * 8.00/hour=8.00/hour = 6.00/unit

Adding all these costs together, the standard cost per unit is 5.00/unit(directmaterials)+5.00/unit (direct materials) + 12.00/unit (direct labor) + 6.00/unit(variableoverhead)=6.00/unit (variable overhead) = 23.00/unit

So, the standard cost of this item is $23 per unit.

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