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Builder 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:,$],[$Pounds in process, May $1$; materials $100\%$ complete;,$],[$conversion $90\%$ complete,$81,000],[$Pounds started into production during May,$460,000],[$Pounds completed and transferred out,?$],[$Pounds in process, May $31$; materials $80\%$ complete;,$55,000],[$conversion $20\%$ complete,$],[$Cost data:,$$158,200$