Barrett Chemicals manufactures four chemicals, Chem$-1,$ Chem$-2,$ Chem$-3,$ and Chem$-4,$ from a joint process. The total joint costs in May were $$564,000.$ Additional information follows:

$\backslash$table$[[,,,$If Processed Further$],[$Product$,$Units,Sales Value at$,$Additional,,$],[$Chem$-1,288,000,$$$220,000,$$$32,700,$$$260,000,],[$Chem$-2,176,000,264,000,29,400,290,000,],[$Chem$-3,192,000,149,600,24,900,180,000,],[$Chem$-4,144,000,246,400,26,300,270,000,],[,800,000,$$$880,000,$$$113,300,$$$1,000,000,]]$

Required:

Barrett Chemicals uses the physical quantities method to allocate joint costs. What joint costs would be allocated to each product in May?

Note: Do not round intermediate calculations.

$\backslash$table$[[$Product$,\backslash$table$[[$Joint Costs$],[$Allocated$]]],[$Chem$-1,],[$Chem$-2,],[$Chem$-3,],[$Chem$-4,]]$