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

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

Case
1 2 3 4
Alpha Division:
Capacity in units 90,000 410,000 160,000 310,000
Number of units now being sold to outside customers 90,000 410,000 110,000 310,000
Selling price per unit to outside customers $ 50 $ 110 $ 125 $ 70
Variable costs per unit $ 38 $ 85 $ 90 $ 46
Fixed costs per unit (based on capacity) $ 6 $ 15 $ 20 $ 9
Beta Division:
Number of units needed annually 15,000 40,000 30,000 122,000
Purchase price now being paid to an outside supplier $ 47 $ 109 $ 125*

*Before any purchase discount.

Required:

  1. Refer to case 1 shown above. Alpha Division can avoid $2 per unit in commissions on any sales to Beta Division.
    1. What is Alpha Division's lowest acceptable transfer price?
    2. What is Beta Division's highest acceptable transfer price?
    3. What is the range of acceptable transfer prices (if any) between the two divisions? Will the managers agree to a transfer?

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