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ZP Plc operates two subsidiaries, X and Y. X is a component manufacturing subsidiary and Y is an assembly and final product subsidiary. Both subsidiaries

ZP Plc operates two subsidiaries, X and Y. X is a component manufacturing subsidiary and Y is an assembly and final product subsidiary. Both subsidiaries produce one type of output only. Subsidiary Y needs one component from subsidiary X for every unit of product W produced. Subsidiary X transfers to subsidiary Y all of the components needed to produce product W. Subsidiary X also sells components on the external market.

The following budgeted information is available for each subsidiary.

X Y
Market price per component Shs.800
Market price per unit of W Shs.1.200
Production costs per component Shs. 600
Assembly costs per unit of W Shs.400
Non-production fixed costs Shs.1.5m Shs.1.3m
External demand 10,000 units 12,000
Capacity 22,000 units
Taxation rates 25% 30%

The production cost per component is 60% variable. The fixed production costs are absorbed based on budgeted output. X sets a transfer price at marginal cost plus 70 per cent.

Required:

Calculate the post-tax profit generated by each subsidiary

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