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Alpha and Beta are divisions within the same company. The managers of both divisions are evaluated based on their own divisions return on investment (ROI).

Alpha and Beta are divisions within the same company. The managers of both divisions are evaluated based on their own divisions return on investment (ROI). Assume the following information relative to the two divisions:

Case
1 2 3 4
Alpha Division:
Capacity in units 57,000 312,000 100,000 204,000
Number of units now being sold to outside customers 57,000 312,000 73,000 204,000
Selling price per unit to outside customers $ 105 $ 43 $ 67 $ 45
Variable costs per unit $ 67 $ 22 $ 44 $ 32
Fixed costs per unit (based on capacity) $ 29 $ 11 $ 25 $ 5
Beta Division:
Number of units needed annually 10,300 66,000 21,000 66,000
Purchase price now being paid to an outside supplier $ 98 $ 42 $ 67 *

Refer to case 1 shown above. Alpha Division can avoid $4 per unit in commissions on any sales to Beta Division.

a. What is Alpha Division's lowest acceptable transfer price? b. What is Beta Division's highest acceptable transfer price? c. What is the range of acceptable transfer prices (if any) between the two divisions? Will the managers probably agree to a transfer?

Identify the lowest and highest acceptable transfer prices:
Lowest acceptable transfer price
Highest acceptable transfer price
Identify the range of acceptable transfer prices (if any):
There is not a range of acceptable transfer prices.
There is a range of acceptable transfer prices as shown below
Transfer price
Will the managers agree to the trade?

Refer to case 2 shown above. A study indicates that Alpha Division can avoid $4 per unit in shipping costs on any sales to Beta Division.

a. What is Alpha Division's lowest acceptable transfer price? b. What is Beta Division's highest acceptable transfer price? c. What is the range of acceptable transfer prices (if any) between the two divisions? Would you expect any disagreement between the two divisional managers over what the exact transfer price should be? d. Assume Alpha Division offers to sell 66,000 units to Beta Division for $41 per unit and that Beta Division refuses this price. What will be the loss in potential profits for the company as a whole?

Identify the lowest and highest acceptable transfer prices:
Lowest acceptable transfer price
Highest acceptable transfer price
Identify the range of acceptable transfer prices (if any):
There is not a range of acceptable transfer prices.
There is a range of acceptable transfer prices as shown below
Transfer price
Will the managers agree to the trade?
Loss in potential profits for the company

Refer to case 3 shown above. Assume that Beta Division is now receiving an 6% price discount from the outside supplier.

a. What is Alpha Division's lowest acceptable transfer price? b. What is Beta Division's highest acceptable transfer price? c. What is the range of acceptable transfer prices (if any) between the two divisions? Will the managers probably agree to a transfer? d. Assume Beta Division offers to purchase 21,000 units from Alpha Division at $57.98 per unit. If Alpha Division accepts this price, would you expect its ROI to increase, decrease, or remain unchanged?

Identify the lowest and highest acceptable transfer prices:
Lowest acceptable transfer price
Highest acceptable transfer price
Identify the range of acceptable transfer prices (if any):
There is not a range of acceptable transfer prices.
There is a range of acceptable transfer prices as shown below
Transfer price
Will the managers agree to the trade?
Division A's ROI should
Increase
Decrease

Refer to case 4 shown above. Assume that Beta Division wants Alpha Division to provide it with 66,000 units of a different product from the one Alpha Division is producing now. The new product would require $26 per unit in variable costs and would require that Alpha Division cut back production of its present product by 33,000 units annually. What is Alpha Division's lowest acceptable transfer price?

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