XYZ Ltd. uses activity-based costing (ABC) to allocate overhead costs. The company identified three cost pools: machine-related costs, setup costs, and inspection costs. If the total overhead costs for the year were $400,000, and the activity drivers and rates were as follows: 25,000 machine hours at $14 per hour, 700 setups at $1,000 per setup, and 3,000 inspections at $150 per inspection, calculate the overhead cost allocated to a product requiring 3,500 machine hours, 30 setups, and 250 inspections.