Bloomer Company has reported an operating loss of $40,000 with $30,000 of sales. The total variable costs were $40,000. A proposal has been made recommending the purchase of a new machine. Fixed costs are expected to increase by $10,000 per year. The variable costs are predicted to fall, and for a sales level of $30,000 the costs are expected to be $17,500 lower than what they were last year. If costs behave as predicted, assuming the proposal is accepted, what will the break-even sales point in dollars be?
Sales = $30,000
Operating loss = $40,000
Total variable costs = 40,000
Total fixed costs = ?
(Total variable costs + Total fixed costs) - Sales = Operating loss
(40,000 + Total fixed costs) - 30,000 = 40,000
Total fixed costs = $30,000
After purchasing new machine, Total fixed costs will increase by $10,000 and Total variable costs will decrease by $17,500.
New Total fixed costs = 30,000 + 10,000
= $40,000
New Total variable costs = 40,000 - 17,500
= $22,500
Sales = $30,000
Contribution margin = Sales - New Total variable costs
= 30,000 - 22,500
= $7,500
Contribution margin ratio = Contribution margin/Sales
= 7,500/30,000
= 25%
Break even point (in dollar) = New Total fixed costs/Contribution margin ratio
= 40,000/25%
= $160,000
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