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

2) 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

Alpha Division:

Capacity in units

50,000

320,000

101,000

Number of units now being sold to outside customers

50,000

320,000

77,000

Selling price per unit to outside customers

$

98

$

43

$

67

Variable costs per unit

$

59

$

20

$

41

Fixed costs per unit (based on capacity)

$

23

$

12

$

25

Beta Division:

Number of units needed annually

9,100

69,000

18,000

Purchase price now being paid to an outside supplier

$

92

$

42

$

67

Required:

1. Refer to case 1 shown above. Alpha Division can avoid $3 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?

2. Refer to case 2 shown above. A study indicates that Alpha Division can avoid $5 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 69,000 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?

3. Refer to case 3 shown above. Assume that Beta Division is now receiving an 5% 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 18,000 units from Alpha Division at $58.65 per unit. If Alpha Division accepts this price, would you expect its ROI to increase, decrease, or remain unchanged?

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