Question

In: Accounting

4-8 Diego Company manufactures one product that is sold for $78 per unit in two geographic...

4-8

Diego Company manufactures one product that is sold for $78 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 49,000 units and sold 44,000 units.

Variable costs per unit:
Manufacturing:
Direct materials $ 28
Direct labor $ 14
Variable manufacturing overhead $ 4
Variable selling and administrative $ 6
Fixed costs per year:
Fixed manufacturing overhead $ 686,000
Fixed selling and administrative expense $ 510,000

The company sold 32,000 units in the East region and 12,000 units in the West region. It determined that $230,000 of its fixed selling and administrative expense is traceable to the West region, $180,000 is traceable to the East region, and the remaining $100,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.

What is the company’s break-even point in unit sales?

Solutions

Expert Solution

Computation of break-even sales unit is:

Break-even sales unit = Total value of fixed cost / Value of contribution of each unit

= $1,196,000 / $26

= 46,000 units

Hence, the break-even sales unit is 46,000.

Working notes:

1.

Computation the total value of fixed cost is:

Total value of fixed cost = Value of fixed expense for selling and administrative + Value of fixed overhead

= $510,000 + $686,000

= $1,196,000

Hence, the total value of fixed cost is $1,196,000.

2.

Computation the value of variable cost of each unit is:

Variable cost of each unit = Value of labor + Value of material + Value of variable expense for selling and administrative + Value of variable overhead

= $14 + $28 + $6 + $4

= $52

Hence, the value of variable cost of each unit is $52.

3.

Computation the value of contribution of each unit is:

Value of contribution of each unit = Value of sales of each unit - Value of variable cost of each unit

= $78 - $52

= $26

Hence, the value of contribution margin of each unit is $26.


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