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 $$592,000.$ Additional information follows:

Product Units Produced Sales Value at Split$-$Off If Processed Further

Additional Costs Sales Values

Chem$-1272,000$ $ $206,720$ $ $29,920$ $ $244,800$

Chem$-2184,000276,00029,440301,760$

Chem$-3192,000149,76023,040180,000$

Chem$-4152,000258,40027,360285,000$

$800,000$ $ $890,880$ $ $109,760$ $ $1,011,560$

Required:

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