The overhead cost that should be allocated to Zeta via activity-based costing is $356,000.
The following formula for determining the overhead cost allocated to Zeta:
= Zeta pool no 1 ÷ total pool no 1 × pool cost + zeta pool no 2 ÷ total pool no 2 × pool cost + zeta pool no 3 ÷ total pool no 3 × pool cost
= 2,800 ÷ 4,000 × $160,000 + 55 ÷ 100 × $280,000 + 750 ÷ 3,000 x $360,000
= $356,000
Therefore we can conclude that the overhead cost that should be allocated to Zeta via activity-based costing is $356,000.
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