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In a manufacturing company, Product X is a popular item known for its quality and durability. During the last production cycle, the company produced 3,000 units of Product X. The opening inventory at the beginning of the cycle was 200 units, and the closing inventory at the end of the cycle was 400 units. The company also incurred administrative expenses amounting to $15,000 during the period, and the sales team received commissions totalling 5% of total sales revenue.The financial details for Product X are as follows:Selling price per unit: $70Direct materials per unit: $20Direct labor per unit: $12Variable production overhead per unit: $8Fixed production overhead: $30,000Calculate the gross profit for Product X using marginal costing.

Question

In a manufacturing company, Product X is a popular item known for its quality and durability. During the last production cycle, the company produced 3,000 units of Product X. The opening inventory at the beginning of the cycle was 200 units, and the closing inventory at the end of the cycle was 400 units. The company also incurred administrative expenses amounting to 15,000duringtheperiod,andthesalesteamreceivedcommissionstotalling515,000 during the period, and the sales team received commissions totalling 5% of total sales revenue.The financial details for Product X are as follows:Selling price per unit: 70Direct materials per unit: 20Directlaborperunit:20Direct labor per unit: 12Variable production overhead per unit: 8Fixedproductionoverhead:8Fixed production overhead: 30,000Calculate the gross profit for Product X using marginal costing.

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Solution

To calculate the gross profit using marginal costing, we first need to calculate the cost of goods sold (COGS), sales revenue, and variable costs.

  1. Calculate the number of units sold: Opening inventory + Production - Closing inventory = Units sold 200 units + 3,000 units - 400 units = 2,800 units

  2. Calculate the sales revenue: Selling price per unit * Units sold = Sales revenue 702,800units=70 * 2,800 units = 196,000

  3. Calculate the variable cost per unit: Direct materials per unit + Direct labor per unit + Variable production overhead per unit = Variable cost per unit 20+20 + 12 + 8=8 = 40

  4. Calculate the total variable cost: Variable cost per unit * Units produced = Total variable cost 403,000units=40 * 3,000 units = 120,000

  5. Calculate the cost of goods sold (COGS): Variable cost per unit * Units sold = COGS 402,800units=40 * 2,800 units = 112,000

  6. Calculate the gross profit: Sales revenue - COGS = Gross profit 196,000196,000 - 112,000 = $84,000

So, the gross profit for Product X using marginal costing is $84,000.

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