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Homework answers / question archive / Younger Corporation reports that at an activity level of 4,600 units, its total variable cost is $305,256 and its total fixed cost is $152,280

Younger Corporation reports that at an activity level of 4,600 units, its total variable cost is $305,256 and its total fixed cost is $152,280

Accounting

Younger Corporation reports that at an activity level of 4,600 units, its total variable cost is $305,256 and its total fixed cost is $152,280.

Required: For the activity level of 4,700 units, compute: (a) the total variable cost; (b) the total fixed cost; (c) the total cost; (d) the average variable cost per unit; (e) the average fixed cost per unit; and (f) the average total cost per unit. Assume that this activity level is within the relevant range.

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Answer to (a) and (d)

The average variable cost per unit is given by:

  • = Existing total variable cost / existing activity level in units
  • =$305,2564,600=$305,2564,600
  • = $66.36 per unit

The total variable cost for 4,700 units is given by:

  • = Average variable cost per unit * number of units
  • = $66.36 * 4,700
  • = $311,892

Answer to (b)

The total fixed cost does not change with the activity level within a relevant range and hence its value is $152,280.

Answer to (c)

The total cost is given by:

  • = Total fixed cost + total variable cost
  • = $152,280 + $311,892
  • = $464,172

Answer to (e)

The average fixed cost per unit is given by:

  • = Total fixed cost / new activity level in units
  • =$152,2804,700=$152,2804,700
  • = $32.40 per unit

Answer to (f)

The average total cost per unit is given by:

  • = Average fixed cost per unit + average variable cost per unit
  • = $32.40 + $66.36
  • = $98.76 per unit

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