PROBLEM $4-16$ Comprehensive Problem$-$Weighted$-$Average Method LO$4-2,$ LO$4-3,$ LO$4-4,$ LO$4-5$ Builder Products, Inc., 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 $80\%$ complete $..................,10,000],[$Pounds started into production during May $...................,100,000],[$Pounds completed and transferred out $........................,?],[$Pounds in process, May $31$; materials $60\%$ complete;,$],[$conversion $20\%$ complete $......................,15,000],[$Cost data:$],[$Work in process inventory, May $1$ :$],[$Materials cost $................,$$$1,500$