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Beyond Technologies Corp

Accounting

Beyond Technologies Corp. has the following data available from its operations: 
Selling price per unit     $227.5

Direct materials cost per unit     $70

Processing and assembly costs per unit     $52.5

Batch setup and assembly costs $11,375

Fixed manufacturing and administrative costs $5,075,000 
How many units per batch is needed to earn a contribution per batch of $50,000? 

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Computation of the number of units per batch:-

Variable cost per unit = Direct materials cost per unit + Processing and assembly cost per unit

= $70 + $52.5

= $122.5

Contribution margin per unit = Selling price per unit - Variable cost per unit

= $227.5 - $122.5

= $105

Break even point in units = (Batch setup & assembly costs + Fixed manufacturing & administrative costs + Contribution) / Contribution margin per unit

= ($11,375 + $5,075,000 + $50,000) / $105

= $5,136,375 / $105

= 48,917.86 Or 48,918 units