Integrated Masters Inc. (IMI) is presently operating at 80% of capacity and manufacturing 110,000 units of a patented electronic component. The cost structure of the component is as follows: Raw materials Direct labor Variable overhead Fixed overhead 7.20 per unit 7.20 per unit 9.20 per unit $451,000 per year An Italian firm has offered to purchase 21,200 of the components at a price of $30.0 per unit, FOB IMI's plant. The normal selling price is $35.6 per component. This special order will not affect any of IMI's "normal" business. Management calculated that the cost per component is $27.7, so it is reluctant to accept this special order. Required: a. Calculate the fixed overhead per unit? b. Is the cost calculation appropriate? c. Should the offer from the Italian firm be accepted?

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### Integrated Masters Inc. (IMI) Special Order Analysis

Integrated Masters Inc. (IMI) is currently operating at 80% of its capacity with an annual production of 110,000 units of a patented electronic component. The cost structure per component is outlined as follows:

| Cost Element        | Amount             |
|---------------------|--------------------|
| Raw materials       | $7.20 per unit     |
| Direct labor        | $7.20 per unit     |
| Variable overhead   | $9.20 per unit     |
| Fixed overhead      | $451,000 per year  |

An Italian firm has proposed to purchase 21,200 units of the component at $30.0 per unit, FOB IMI's plant. The regular selling price is $35.6 per component. This special order will not affect any of IMI's existing business activities. However, management has calculated the cost per component to be $27.7, making them hesitant to accept this offer.

**Required:**
a. Calculate the fixed overhead per unit.
b. Is the cost calculation appropriate?
c. Should the offer from the Italian firm be accepted?

#### Detailed Analysis

1. **Calculating Fixed Overhead Per Unit:**
   - Annual fixed overhead: $451,000
   - Number of units produced annually: 110,000
   - Fixed overhead per unit = \(\frac{\$451,000}{110,000} ≈ \$4.10\)

2. **Cost Calculation Appropriateness:**
   To determine if the cost calculation is appropriate, we need to compare the proposed special order price with the total variable and relevant incremental fixed costs:
   - Total variable cost per unit (Raw materials + Direct labor + Variable overhead): 
     - $7.20 + $7.20 + $9.20 = $23.60 per unit 
   - Assuming fixed overhead should not be included in incremental cost decision if capacity exists, the cost consideration should primarily focus on variable costs.

3. **Decision on Offer:**
   - Total variable cost per unit: $23.60
   - Special order price per unit: $30.0
   - Contribution margin per unit: $30.0 - $23.60 = $6.40 per unit
   - Since the contribution margin is positive and capacity exists to fulfill this order without impacting existing operations, IMI should accept the special order to improve
Transcribed Image Text:### Integrated Masters Inc. (IMI) Special Order Analysis Integrated Masters Inc. (IMI) is currently operating at 80% of its capacity with an annual production of 110,000 units of a patented electronic component. The cost structure per component is outlined as follows: | Cost Element | Amount | |---------------------|--------------------| | Raw materials | $7.20 per unit | | Direct labor | $7.20 per unit | | Variable overhead | $9.20 per unit | | Fixed overhead | $451,000 per year | An Italian firm has proposed to purchase 21,200 units of the component at $30.0 per unit, FOB IMI's plant. The regular selling price is $35.6 per component. This special order will not affect any of IMI's existing business activities. However, management has calculated the cost per component to be $27.7, making them hesitant to accept this offer. **Required:** a. Calculate the fixed overhead per unit. b. Is the cost calculation appropriate? c. Should the offer from the Italian firm be accepted? #### Detailed Analysis 1. **Calculating Fixed Overhead Per Unit:** - Annual fixed overhead: $451,000 - Number of units produced annually: 110,000 - Fixed overhead per unit = \(\frac{\$451,000}{110,000} ≈ \$4.10\) 2. **Cost Calculation Appropriateness:** To determine if the cost calculation is appropriate, we need to compare the proposed special order price with the total variable and relevant incremental fixed costs: - Total variable cost per unit (Raw materials + Direct labor + Variable overhead): - $7.20 + $7.20 + $9.20 = $23.60 per unit - Assuming fixed overhead should not be included in incremental cost decision if capacity exists, the cost consideration should primarily focus on variable costs. 3. **Decision on Offer:** - Total variable cost per unit: $23.60 - Special order price per unit: $30.0 - Contribution margin per unit: $30.0 - $23.60 = $6.40 per unit - Since the contribution margin is positive and capacity exists to fulfill this order without impacting existing operations, IMI should accept the special order to improve
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