Thomsen Computer Company produces three products: Earth, Wind, and Fire. Earth requires $80$ machine setups, Wind requires $60$ setups, and Fire requires $180$ setups. Thomsen has identified an activity cost pool with allocated overhead of $$480000$ for which the cost driver is machine setups. How much overhead is assigned to each product?

Earth Wind Fire

$\backslash$table$[[$$$120000,$$$90000,$$$270000$