Solution 1 & 2:
Sales Price per unit = $24
Variable Cost per Unit = $ 18
Contribution Per unit = $24 - $18 = $6
Net Income if plant continues in strike period of 2 Months:
Net Income = Total Contribution - Fixed manufacturing overhead – Fixed Selling Cost
= (20000*6) – (160000*2) – (44000*2) = ($288,000)
Net Income if plant shut down in strike period of 2 months:
Revised fixed manufacturing cost = $160,000 - $49,000 = $111,000 per month
Revised fixed selling cost = $44,000 – ($44,000*11%) = $ 39,160 per month
Start up cost at the end of shut down = $12,000
Net Income = Total Contribution - Fixed manufacturing overhead – Fixed Selling Cost – Startup Cost
= 0 – (111000*2) – (39160*2) - 12000 = ($312,320)
Hence if plant is closed for 2 months than net income will decrease by $24,320 ($288,000 - $312,320).
As net income is decreasing therefore Birch should not close the plant for 2 months.
Solution 3:
If our loss will remain constant $312,320 at opening of plant and closing of plant then Birch Company will be indifferent. Let x is no of units sold at which Birch company will be indifferent between closing the plant and keeping it open.
It means
Loss at the time of opening the plant = $312,320
6x – (160000*2) – (44000*2) = -312320
6x - 320000 – 88000 = -312320
6x = 95,680
X = 15947 units
Hence at 15947 units of sales for 2 months period Birch company be indifferent between closing the plant and keeping it open.
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