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:

Markup Percentage=Total Desired Profit+Total Fixed CostsTotal Variable Costs×100\text{Markup Percentage} = \frac{\text{Total Desired Profit} + \text{Total Fixed Costs}}{\text{Total Variable Costs}} \times 100

Step-by-Step Solution:

  1. 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
  2. Determine the Total Desired Profit:

    • Desired profit is 21% of the invested assets (P600,000).
    • Desired profit = 21% × P600,000 = P126,000
  3. 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
  4. Calculate the Total Variable Costs for All Units (60,000 units):

    • Total variable costs for 60,000 units = 60,000 × P11.01 = P660,600
  5. 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
  6. Markup Percentage Calculation: Markup Percentage=P126,000+P45,000P660,600×100=P171,000P660,600×10025.9%\text{Markup Percentage} = \frac{P126,000 + P45,000}{P660,600} \times 100 = \frac{P171,000}{P660,600} \times 100 \approx 25.9\%

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:

  1. How do fixed and variable costs affect pricing strategies?
  2. What is the difference between markup and margin in pricing?
  3. How do you calculate break-even points using fixed and variable costs?
  4. How does the desired return on invested assets influence product pricing?
  5. 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