the battery division (Division X) and the adaptor division (Division Y). Division Y sells one product - portable battery chargers for gamers which can be attached to a car’s own battery and used to start up the engine when the car’s own battery fails. Division X sells adaptors which are used by customers to charge mobile devices and laptops by attaching them to the car’s internal power source. Recently, Division Y has upgraded its portable battery so it can also be used to rapidly charge mobile devices and laptops. The mobile device or laptop must be attached to the battery using a special adaptor which is supplied to the customer with the battery. Division Y currently buys the adaptors fro
The XYZ Co. is a company specializing in the manufacture and sale of a range of products for gamers. It is split into two divisions: the battery division (Division X) and the adaptor division (Division Y).
Division Y sells one product - portable battery chargers for gamers which can be attached to a car’s own battery and used to start up the engine when the car’s own battery fails.
Division X sells adaptors which are used by customers to charge mobile devices and laptops by attaching them to the car’s internal power source.
Recently, Division Y has upgraded its portable battery so it can also be used to rapidly charge mobile devices and laptops.
The mobile device or laptop must be attached to the battery using a special adaptor which is supplied to the customer with the battery. Division Y currently buys the adaptors from Division X, which also sells them externally to other companies.
The following data is available for both divisions:
DIVISION Y
|
Selling price for each portable battery, including adaptor |
$180 |
|
Costs per battery: |
|
|
Adaptor from Division A |
$13 |
|
Other materials from external suppliers |
$45 |
|
Labour costs |
$35 |
|
Annual fixed |
$5,460,000 |
|
Annual production and sales of portable batteries (units) |
150,000 |
|
Maximum annual market demand for portable batteries (units) |
180,000 |
DIVISION X
|
Selling price per adaptor to external customers |
$15 |
|
Selling price per adaptor to Division Y |
$13 |
|
Costs per adaptor: |
|
|
Materials |
$3 |
|
Labour costs |
$4 |
|
Annual fixed overheads |
$2,200,000 |
|
Current annual production capacity and sales of adaptors - both internal and external sales (units) |
350,000 |
|
Maximum annual external demand for adaptors (units) |
200,000 |
In addition to the materials and labour costs above, Division X incurs a variable cost of $1.5 per adaptor for all adaptors it sells externally.
Currently, Head Office’s purchasing policy only allows Division Y to purchase the adaptors from Division X but Division X has refused to sell Division Y any more than the current level of adaptors it supplies to it.
The manager of Division Y is unhappy. He has a special industry contact who he could buy the adaptors from at exactly the same price charged by Division X if he were given the autonomy to purchase from outside the group.
After discussions with both of the divisional managers and to ensure that the managers are not demotivated, Head Office has now agreed to change the purchasing policy to allow Division Y to buy externally, provided that it optimises the profits of the group as a whole.
1. Under the current situation, what is the minimum and maximum transfer prices (for the additional 30,000 units)?
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