Pauley Company needs to determine a markup for a new product. Pauley expects to sell 15,000 units and wants a target profit of $54 per unit. Additional information is as follows: Variable Costs per Unit Fixed Costs (total) Direct materials $ 24 Overhead $ 49,750Direct labor 25 General and administrative 56,750Overhead 18 General and administrative 27 Using the variable cost method, what markup percentage to variable cost should be used?
Question
Pauley Company needs to determine a markup for a new product. Pauley expects to sell 15,000 units and wants a target profit of 24 Overhead $ 49,750Direct labor 25 General and administrative 56,750Overhead 18 General and administrative 27 Using the variable cost method, what markup percentage to variable cost should be used?
Solution
To calculate the markup percentage using the variable cost method, we need to follow these steps:
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Calculate the total variable cost per unit: This is the sum of all variable costs associated with producing one unit of the product. In this case, it's the sum of direct materials, direct labor, overhead, and general and administrative costs per unit.
Total Variable Cost per Unit = 25 (Direct labor) + 27 (General and administrative) = $94
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Calculate the total fixed costs: This is the sum of all fixed costs. In this case, it's the sum of overhead and general and administrative costs.
Total Fixed Costs = 56,750 (General and administrative) = $106,500
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Calculate the total cost per unit: This is the sum of the variable cost per unit and the fixed cost per unit. The fixed cost per unit is the total fixed costs divided by the number of units expected to be sold.
Fixed Cost per Unit = Total Fixed Costs / Number of Units = 7.1
Total Cost per Unit = Total Variable Cost per Unit + Fixed Cost per Unit = 7.1 = $101.1
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Calculate the selling price per unit: This is the total cost per unit plus the target profit per unit.
Selling Price per Unit = Total Cost per Unit + Target Profit per Unit = 54 = $155.1
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Calculate the markup percentage: This is the difference between the selling price per unit and the total variable cost per unit, divided by the total variable cost per unit, multiplied by 100.
Markup Percentage = [(Selling Price per Unit - Total Variable Cost per Unit) / Total Variable Cost per Unit] * 100 = [(94) / $94] * 100 = 65.0%
So, Pauley Company should use a markup percentage of 65.0% to the variable cost.
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