Sako Company’s Audio Division produces a speaker that is used by manufacturers of various audio products. Sales and cost data on the speaker follow:
Selling price per unit on the intermediate market | $ | 43 |
Variable costs per unit | $ | 18 |
Fixed costs per unit (based on capacity) | $ | 7 |
Capacity in units | 64,000 | |
Sako Company has a Hi-Fi Division that could use this speaker in one of its products. The Hi-Fi Division will need 10,000 speakers per year. It has received a quote of $33 per speaker from another manufacturer. Sako Company evaluates division managers on the basis of divisional profits.
Required:
1. Assume the Audio Division is now selling only 54,000 speakers per year to outside customers.
a. From the standpoint of the Audio Division, what is the lowest acceptable transfer price for speakers sold to the Hi-Fi Division?
b. From the standpoint of the Hi-Fi Division, what is the highest acceptable transfer price for speakers acquired from the Audio Division?
c. What is the range of acceptable transfer prices (if any) between the two divisions? If left free to negotiate without interference, would you expect the division managers to voluntarily agree to the transfer of 10,000 speakers from the Audio Division to the Hi-Fi Division?
d. From the standpoint of the entire company, should the transfer take place?
2. Assume the Audio Division is selling all of the speakers it can produce to outside customers.
a. From the standpoint of the Audio Division, what is the lowest acceptable transfer price for speakers sold to the Hi-Fi Division?
b. From the standpoint of the Hi-Fi Division, what is the highest acceptable transfer price for speakers acquired from the Audio Division?
c. What is the range of acceptable transfer prices (if any) between the two divisions? If left free to negotiate without interference, would you expect the division managers to voluntarily agree to the transfer of 10,000 speakers from the Audio Division to the Hi-Fi Division?
d. From the standpoint of the entire company, should the transfer take place?
Explanation
1.
a.
The lowest acceptable transfer price from the perspective of the selling division is given by the following formula:
Transfer price ≥ | Variable cost per unit | + | Total contribution margin on lost sales |
Number of units transferred |
Because there is enough idle capacity to fill the entire order from the Hi-Fi Division, no outside sales are lost. And because the variable cost per unit is $18, the lowest acceptable transfer price as far as the selling division is concerned is also $18.
Transfer price ≥ $18 + | 0 | = $18 |
10,000 |
b.
The Hi-Fi division can buy a similar speaker from an outside supplier for $33. Therefore, the Hi-Fi Division would be unwilling to pay more than $33 per speaker.
Transfer price ≤ Cost of buying from outside supplier = $33
c.
Combining the requirements of both the selling division and the buying division, the acceptable range of transfer prices in this situation is:
$18 ≤ Transfer price ≤ $33
Assuming that the managers understand their own businesses and that they are cooperative, they should be able to agree on a transfer price within this range and the transfer should take place.
d.
From the standpoint of the entire company, the transfer should take place. The cost of the speakers transferred is only $18 and the company saves the $33 cost of the speakers purchased from the outside supplier.
2.
a.
Each of the 10,000 units transferred to the Hi-Fi Division must displace a sale to an outsider at a price of $43. Therefore, the selling division would demand a transfer price of at least $43. This can also be computed using the formula for the lowest acceptable transfer price as follows:
Transfer price ≥ $18 + | ($43 − $18) × 10,000 |
10,000 |
= | $18 + ($43 − $18) = $43 |
b.
As before, the Hi-Fi Division would be unwilling to pay more than $33 per speaker.
c.
The requirements of the selling and buying divisions in this instance are incompatible. The selling division must have a price of at least $43 whereas the buying division will not pay more than $33. An agreement to transfer the speakers is extremely unlikely.
d.
From the standpoint of the entire company, the transfer should not take place. By transferring a speaker internally, the company gives up revenue of $43 and saves $33, for a loss of $10.
Thanks
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