Answer
$407,000
Work Step by Step
Total overhead cost assigned to Product Y= Machining (at 20 per machine hour) + Machine Setups (at 500 per setup) + Product Design (at 42,000 per product) + General Factory (at 25 per direct labour-hour) = 140,000 + 25,000 + 42,000 + 200,000 = $407,000