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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 87,000 407,000 157,000 307,000
Number of units now being sold to outside customers 87,000 407,000 107,000 307,000
Selling price per unit to outside customers $ 44 $ 104 $ 110 $ 64
Variable costs per unit $ 32 $ 79 $ 75 $ 40
Fixed costs per unit (based on capacity) $ 6 $ 15 $ 20 $ 9
Beta Division:
Number of units needed annually 12,000 37,000 27,000 121,400
Purchase price now being paid to an outside supplier $ 41 $ 103 $ 110*

*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.

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?

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