Final answer:
Birch Company is considering whether to shut down its plant for two months due to reduced sales because of strikes. The financial advantage or disadvantage of a shutdown involves analyzing fixed and variable costs, revenues, and one-time startup costs post-shutdown. To determine the indifference point of sales level, a comparison is made between total costs in both operational and shutdown scenarios.
Step-by-step explanation:
The student's question pertains to the decision Birch Company must make regarding whether to shut down its plant for two months during a period of reduced sales due to strikes. To answer the three parts of the question, we have to consider fixed costs, variable costs, revenue, and the shutdown rule which states that a firm should continue to operate if the price is above average variable cost, as this allows covering variable costs and contributing to some fixed costs, thereby minimizing losses.
Required 1: Financial Advantage (Disadvantage) of Plant Shutdown
If the plant is shut down for two months, Birch Company will save on some fixed manufacturing overhead costs and selling costs. Specifically, there will be a reduction of $46,000 per month in manufacturing costs and a 10% reduction in selling costs (amounting to $4,400 per month), totaling a cost saving of $50,400 per month.
However, the company must also consider the one-time startup cost of $14,000 at the end of the shutdown. Over two months, the total savings would be $100,800, minus the one-time startup costs, resulting in net savings of $86,800.
Required 2: Should Birch Close the Plant?
Birch should close the plant if the cost savings exceed the contribution margin lost from selling 8,000 units per month. However, since this isn't explicitly provided, we cannot definitively answer without further calculation of costs versus sales revenue during the shutdown.
Required 3: Indifference Point Between Closing and Keeping Plant Open
To find the level of unit sales at which Birch Company would be indifferent between closing the plant or keeping it open, we compare the total costs in both scenarios. We look for the sales level where the contribution margin exactly covers the fixed costs with and without shutdown costs. This requires setting up an equation and solving for the number of units sold.