Builder Products, Incorporated, uses the weighted$-$average method of process costing. 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:Pounds in process, May $1$; materials $100\%$ complete;Pounds started into production during May $390,000$Pounds in process, May $31$; materials $70\%$ complete;Cost data: Materials cost $ $98,800$Cost added during May: Conversion cost $ $ $242,130$Required:

For May:

Compute the equivalent units of production for materials and conversion.

Compute the cost per equivalent unit for materials and conversion.

Compute the cost of ending work in process inventory for materials, conversion, and in total.

Compute the cost of units transferred out to the next department for materials, conversion, and in total.

Prepare a cost reconciliation report.