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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 Dec 09, 2020

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.

Expert Solution

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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