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In: Accounting

Barnam Company currently produces and sells 12,000 units of a product that has a contribution margin...

Barnam Company currently produces and sells 12,000 units of a product that has a contribution margin of $8 per unit. The company sells the product for a sales price of $20 per unit. Fixed costs are $37,800. The company has recently invested in new technology and expects the variable cost per unit to fall to $12 per unit. The investment is expected to increase fixed costs by $20,000. After the new investment is made, how many units must be sold to break-even? (Do not round intermediate calculations.)

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Expert Solution

CALCULATION OF CONTRIBUTION MARGIN PER UNIT
PARTICULARS AMOUNT
Selling Price Per Unit= $                           20
Less: Variable Cost Per Unit $                           12
Contribution Margin Per Unit $                             8
Contribution Margin % 40%
($ 8 / $ 20 X 100)
CALCULATION OF THE BREAK EVEN POINT IN UNITS
Revise Fixed Cost = $ 37,800 + $ 20,000 = $                   57,800
Break Even point =      Fixed Cost / Contribution Margin Per Unit
Break Even point =      
Fixed Cost = $                   57,800
Divide By "/" By
Contribution Margin Per Unit = $                             8
Break Even point =       7225 Units
Answer = 7,225 Units

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