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In 2015, X Company had the following selling price and per-unit variable cost in

ID: 2424751 • Letter: I

Question

In 2015, X Company had the following selling price and per-unit variable cost information: Selling price $182.40 Direct materials 37.00 Direct labor 12.30 Variable overhead 35.80 Variable selling and administrative 11.20 In 2015, fixed overhead costs were $386,000, and fixed selling and administrative costs were $264,000. In 2016, there are only two expected changes. Direct material costs are expected to decrease by 10% per unit, and fixed selling and administrative costs are expected to increase by $15,000. What must unit sales be in order for X Company to break even in 2016?

Explanation / Answer

Selling price                                                    $182.40

less:Variable cost

Direct materials (37@90%)                                33.30

Direct lanro                                                         12.300

Variable overhead                                                35.80

Variable selling and administrative expense     11.20

Contribution per unit                                           $89.80

Fixed overhead costs                                     $386,000

Add:Fixed selling (264,000 +15,000)                279,000

Total fixed cost                                                $665,000

BEP(units)   = Fixed cost / Contribution per unit

                     = 665,000/89.80

                     =7,405 units

Selling price                                                    $182.40

less:Variable cost

Direct materials (37@90%)                                33.30

Direct lanro                                                         12.300

Variable overhead                                                35.80

Variable selling and administrative expense     11.20

Contribution per unit                                           $89.80

Fixed overhead costs                                     $386,000

Add:Fixed selling (264,000 +15,000)                279,000

Total fixed cost                                                $665,000

BEP(units)   = Fixed cost / Contribution per unit

                     = 665,000/89.80

                     =7,405 units

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