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rhome corporations relevant range of activity is 2,000 units to 6,000 u…

Question

rhome corporations relevant range of activity is 2,000 units to 6,000 units. when it produces and sells 4,000 units, its average costs per unit are as follows:

average cost per unit:
direct materials: $5.40
direct labor: $3.55
variable manufacturing overhead: $1.70
fixed manufacturing overhead: $3.00
fixed selling expense: $0.60
fixed administrative expense: $0.40
sales commissions: $1.00
variable administrative expense: $0.40

if 5,000 units are produced, the total amount of fixed manufacturing cost incurred is closest to:

multiple choice

  • $18,000
  • $12,000
  • $15,000
  • $13,500

Explanation:

Identify the fixed manufacturing cost per unit

Using the Average Fixed Cost knowledge point

$$ \text{Average Fixed Manufacturing Overhead per unit} = \$3.00 \quad (\text{at } 4,000 \text{ units}) $$

Calculate total fixed manufacturing cost at base level

Using the Fixed Cost Behavior knowledge point

$$ LATEXBLOCK0 $$

Determine total fixed manufacturing cost at target level

Using the Fixed Cost Behavior knowledge point

$$ LATEXBLOCK1 $$

Answer:

  • $18,000
  • $12,000 (Correct answer)
  • $15,000
  • $13,500