Problem $5-16($Algo$)$ Comprehensive Problem$-$Weighted$-$Average Method $[$LO$5-2,$ LO$5-3,$ LO$5-4,$ LO$5-5]$

Bullder Products, Incorporated, uses the weighted$-$average method in its process costing system. It manufactures a caulking compound that goes through three processing stages prior to completion. Information on work in the first department, Cooking, is given below for May:

$\backslash$table$[[$Production data:$],[\backslash$table$[[$Pounds in process, May $1$; materials $100\%$ complete;$],[$conversion $90\%$ complete$]],84,000],[$Pounds started into production during May,$490,000],[$Pounds completed and transferred out,?$],[\backslash$table$[[$Pounds in process, May $31$; materials $60\%$ complete;$],[$conversion $40\%$ complete$]],44,000],[$Cost data:$],[$Work in process inventory, May $1$:$],[$Materials cost$,$$$130,200$