Answer
$277,000
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) = 60,000 + 75,000 + 42,000 + 100,000 = $277,000