Question

In: Accounting

Columbia Products produced and sold 1,400 units of the company’s only product in March. You have...

Columbia Products produced and sold 1,400 units of the company’s only product in March. You have collected the following information from the accounting records:
  

Sales price (per unit) $ 124
Manufacturing costs:
Fixed overhead (for the month) 14,000
Direct labor (per unit) 9
Direct materials (per unit) 33
Variable overhead (per unit) 23
Marketing and administrative costs:
Fixed costs (for the month) 22,400
Variable costs (per unit) 4

  

Required:

a. Compute the following:

variable manufacturing cost per unit

full cost per unit

variable cost per unit

full absorption cost per unit

prime cost per unit

conversion cost per unit

profit margin per unit

contribution margin per unit

gross margin per unit

Solutions

Expert Solution

Fixed manufacturing overhead per unit = Fixed overhead / units

= $14,000 / 1,400 units

= $10

Fixed marketing and administrative costs = Fixed costs / units

= $22,400 / 1,400 units

= $16

Variable manufacturing cost per unit = Direct labor + Direct material + Variable manufacturing overhead

= $9 + $33 + $23

= $65

Full cost per unit = Total variable cost per unit + Total fixed cost per unit

= ($9 + 33 + 23 + $4) + ($10 + $16)

= $69 + $26

= $95

Variable cost per unit = Direct labor + Direct materials + Variable manufacturing overhead + Variable marketing and administrative costs

= $9 + $33 + $23 + $4

= $69

Full absorption cost per unit = Direct labor + Direct materials + Variable manufacturing overhead + Fixed manufacturing overhead

= $9 + $33 + $23 + $10

= $75

Prime cost per unit = Direct labor + Direct materials

= $9 + $33

= $42

Conversion cost per unit = Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead

= $9 + $23 + $10

= $42

Profit margin per unit = Sales price per unit - Full cost per unit

= $124 - $95

= $29

Contribution margin per unit = Sales price - variable cost

= $124 - $69

= $55

Gross margin per unit = Sales price - Full absorption cost

= $124 - $75

= $49


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