Kubin Company’s relevant range of production is 28,000 to 31,500 units. When it produces and sells 29,750 units, its average costs per unit are as follows: Average Cost per UnitDirect materials $ 8.80Direct labor $ 5.80Variable manufacturing overhead $ 3.30Fixed manufacturing overhead $ 6.80Fixed selling expense $ 5.30Fixed administrative expense $ 4.30Sales commissions $ 2.80Variable administrative expense $ 2.30Required:1. If 28,000 units are produced and sold, what is the variable cost per unit produced and sold?2. If 31,500 units are produced and sold, what is the variable cost per unit produced and sold?3. If 28,000 units are produced and sold, what is the total amount of variable cost related to the units produced and sold?4. If 31,500 units are produced and sold, what is the total amount of variable cost related to the units produced and sold?5. If 28,000 units are produced, what is the average fixed manufacturing cost per unit produced?6. If 31,500 units are produced, what is the average fixed manufacturing cost per unit produced?7. If 28,000 units are produced, what is the total amount of fixed manufacturing overhead incurred to support this level of production?8. If 31,500 units are produced, what is the total amount of fixed manufacturing overhead incurred to support this level of production? (Round per unit values to 2 decimal places.)
Question
Kubin Company’s relevant range of production is 28,000 to 31,500 units. When it produces and sells 29,750 units, its average costs per unit are as follows: Average Cost per UnitDirect materials 5.80Variable manufacturing overhead 6.80Fixed selling expense 4.30Sales commissions 2.30Required:1. If 28,000 units are produced and sold, what is the variable cost per unit produced and sold?2. If 31,500 units are produced and sold, what is the variable cost per unit produced and sold?3. If 28,000 units are produced and sold, what is the total amount of variable cost related to the units produced and sold?4. If 31,500 units are produced and sold, what is the total amount of variable cost related to the units produced and sold?5. If 28,000 units are produced, what is the average fixed manufacturing cost per unit produced?6. If 31,500 units are produced, what is the average fixed manufacturing cost per unit produced?7. If 28,000 units are produced, what is the total amount of fixed manufacturing overhead incurred to support this level of production?8. If 31,500 units are produced, what is the total amount of fixed manufacturing overhead incurred to support this level of production? (Round per unit values to 2 decimal places.)
Solution
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The variable cost per unit produced and sold when 28,000 units are produced and sold is the sum of the variable costs which are Direct materials, Direct labor, Variable manufacturing overhead, Sales commissions, and Variable administrative expense. So, 5.80 + 2.80 + 23.00 per unit.
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The variable cost per unit produced and sold when 31,500 units are produced and sold remains the same as variable costs per unit do not change with the level of production within the relevant range. So, it is still $23.00 per unit.
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The total amount of variable cost related to the units produced and sold when 28,000 units are produced and sold is 644,000.
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The total amount of variable cost related to the units produced and sold when 31,500 units are produced and sold is 724,500.
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The average fixed manufacturing cost per unit produced when 28,000 units are produced is the fixed manufacturing overhead divided by the number of units produced. So, 7.24 per unit.
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The average fixed manufacturing cost per unit produced when 31,500 units are produced is the fixed manufacturing overhead divided by the number of units produced. So, 6.43 per unit.
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The total amount of fixed manufacturing overhead incurred to support the level of production when 28,000 units are produced is 190,400.
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The total amount of fixed manufacturing overhead incurred to support the level of production when 31,500 units are produced is 214,200.
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