The next break even point for Flying Cloud Co. will be increased by 640 units.
Initial break even:
Let x be the no. of units in the initial break even.
Sales = Costs
Unit Selling price × No. of units = Unit Variable Cost × No. of units + Total fixed costs
250 × x = 100 × x + 840,000
150 × x = 840,000
x = 5600 units
10% increase in variable cost(new):
= Unit Variable Cost + 10% of Unit Variable Cost
= 100 + 100 × 0.10
= 110
4% increase in fixed cost(new):
= Total fixed costs + 4% of Total fixed costs
= 840,000 + 840,000 * 0.04
= 873,600
Break Even:
Let y be the no. of units in the break even point.
Sales = Costs
Unit Selling price × No. of units = Unit Variable Cost new × No. of units + Total fixed costs new
250 × y = 110 × y + 873,600
140 × y = 873,600
y = 6,240
Change = y - x
Change = 6,240 - 5,600
Change = 640 increase
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