Math Problem Statement
McClelland Corporation uses the total cost concept of product pricing. Below is cost information for the production and sale of 60,000 units of its sole product.McClelland desires a profit equal to a 21% rate of return on invested assets of P600,000.
Fixed factory overhead cost-P37,500
Fixed selling and administrative costs-P7,500
Variable direct materials cost per unit-P4.50
Variable direct labor cost per unit-P1.88
Variable factory overhead cost per unit-P1.13
Variable selling and administrative cost per unit-P4.50 The markup percentage for the company's product is:
(1 Point)
24.0%
15.7%
21.0%
16.5%
Solution
To determine the markup percentage for McClelland Corporation's product, we can use the following formula for markup percentage:
Step-by-Step Solution:
-
Determine the Total Fixed Costs:
- Fixed factory overhead = P37,500
- Fixed selling and administrative costs = P7,500
- Total fixed costs = P37,500 + P7,500 = P45,000
-
Determine the Total Desired Profit:
- Desired profit is 21% of the invested assets (P600,000).
- Desired profit = 21% × P600,000 = P126,000
-
Calculate the Total Variable Costs per Unit:
- Variable direct materials cost per unit = P4.50
- Variable direct labor cost per unit = P1.88
- Variable factory overhead cost per unit = P1.13
- Variable selling and administrative cost per unit = P4.50
- Total variable costs per unit = P4.50 + P1.88 + P1.13 + P4.50 = P11.01
-
Calculate the Total Variable Costs for All Units (60,000 units):
- Total variable costs for 60,000 units = 60,000 × P11.01 = P660,600
-
Calculate the Total Cost (Fixed + Variable Costs):
- Total fixed costs = P45,000
- Total variable costs = P660,600
- Total cost = P45,000 + P660,600 = P705,600
-
Markup Percentage Calculation:
So, the closest markup percentage from the provided options is 24.0%.
Answer:
The markup percentage for McClelland Corporation's product is 24.0%.
Would you like further details on this calculation, or have any questions?
Here are some related questions:
- How do fixed and variable costs affect pricing strategies?
- What is the difference between markup and margin in pricing?
- How do you calculate break-even points using fixed and variable costs?
- How does the desired return on invested assets influence product pricing?
- What are the advantages of using a markup percentage for pricing over other methods?
Tip: Remember that markup is based on the total cost of production, while margin is based on the selling price.
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Math Problem Analysis
Mathematical Concepts
Markup Pricing
Cost Accounting
Profit Calculation
Formulas
Markup Percentage = (Total Desired Profit + Total Fixed Costs) / Total Variable Costs × 100
Theorems
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Suitable Grade Level
Grades 11-12
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