Physical Units Method, Relative Sales$-$Value$-$at$-$Split$-$off Method, Net Realizable Value Method, Decision Making

Sonimad Sawmill, Inc. $($SSI$),$ purchases logs from independent timber contractors and processes them into the following three types of lumber products:

Studs for residential construction $($e$.$g$.,$ walls and ceilings$)$

Decorative pieces $($e$.$g$.,$ fireplace mantels and beams for cathedral ceilings$)$

Posts used as support braces $($e$.$g$.,$ mine support braces and braces for exterior fences around ranch properties$)$

These products are the result of a joint sawmill process that involves removing bark from the logs$,$ cutting the logs into a workable size $($ranging from $8$ to $16$ feet in length$),$ and then cutting the individual products from the logs$,$ depending upon the type of wood $($pine$,$ oak, walnut, or maple$)$ and the size $($diameter$)$ of the log$.$

The joint process results in the following costs and output of products during a typical month:

Joint production costs:$$Materials $($rough timber logs$)$$$500,000$Debarking $($labor and overhead$)60,000$Sizing $($labor and overhead$)200,000$Product cutting $($labor and overhead$)260,000$Total joint costs$$1,020,000$

Product yield and average sales value on a per$-$unit basis from the joint process are as follows:

ProductMonthly

OutputFully Processed

Sales PriceStuds$80,000$$$8$Decorative pieces$5,000100$Posts$15,00020$

The studs are sold as rough$-$cut lumber after emerging from the sawmill operation without further processing by SSI. Also, the posts require no further processing. The decorative pieces must be planed and further sized after emerging from the SSI sawmill. This additional processing costs SSI $$120,000$ per month and normally results in a loss of $10$ percent of the units entering the process. Without this planing and sizing process, there is still an active intermediate market for the unfinished decorative pieces where the sales price averages $$60$ per unit.

Required:

Question Content Area

$1.$ Based on the information given for Sonimad Sawmill, Inc., allocate the joint processing costs of $$1,020,000$ to each of the three product lines using the:

a$.$ Relative sales$-$value$-$at$-$split$-$off method. When required, round decimal values to four places before converting to a percentage. For example, $\mathrm{.}88349$ would be rounded to $\mathrm{.}8835$ and entered as $"88\mathrm{.}35"$ percent.