Joint-cost allocation, process further or sell. (CMA, adapted) Liverpool Sawmill, Inc. (LSI) purchases logs from independent timber contractors and processes the logs into three types of lumber products: These products are the result of a joint sawmill process that involves removal of 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. The joint process results in the following costs of products for a typical month:

Direct materials (rough timber logs) $480,000
Debarking (labor and overhead) 50,000
Sizing (labor and overhead) 220,000
Product cutting (labor and overhead) 260,000
Total joint costs $1010,000

Product yields and average sales values on a per-unit basis from the joint process are as follows:

Product Monthly output of Materials at Splitoff Point Fully proccessed Selling price
Studs 78,000 units $5
Decorative pieces 4,000 units 85
Posts 28,000 units 26

The studs are sold as rough-cut lumber after emerging from the sawmill operation without further processing by LSI. Also, the posts require no further processing beyond the splitoff point. The decorative pieces must be planed and further sized after emerging from the sawmill. This additional processing costs $90,000 per month and normally results in a loss of 10% of the units entering the process. Without this planing and sizing process, there is still an active intermediate market for the unfinished decorative pieces in which the selling price averages $55 per unit.

Required:
1. Based on the information given for Liverpool Sawmill, allocate the joint processing costs of $1,010,000 to the three products using:
a. Sales value at method
b. Physical-measure method (volume in units)
c. NRV method

2. Prepare an analysis for Liverpool Sawmill that compares processing the decorative pieces further, as it currently does, with selling them as a rough-cut product immediately at split off.
3. Assume Liverpool Sawmill announced that in six months it will sell the unfinished decorative pieces at Split off due to increasing competitive pressure. Identify at least three types of likely behavior that will be demonstrated by the skilled labor in the planing-and-sizing process as a result of this announcement. Include in your discussion how this behavior could be influenced by management.