Question

The company BMK presents the following costing data: Finished production: 5,000 units. Production sold: 4,100 units. Sale price $1,730 each unit. Income tax 27% Period costs: Variable costs and expenses of the period MPD $170 per unit MOD $310 per unit CIF $145 per unit Other costs and fixed expenses of the period: CIF $700,000 Administration expenses $1,200,000 Sales expenses $900,000 It is requested: Calculate the total production cost, the unit cost and prepare the Statement of Result both by the absorbent method and the variable method.

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Answer to a math question The company BMK presents the following costing data: Finished production: 5,000 units. Production sold: 4,100 units. Sale price $1,730 each unit. Income tax 27% Period costs: Variable costs and expenses of the period MPD $170 per unit MOD $310 per unit CIF $145 per unit Other costs and fixed expenses of the period: CIF $700,000 Administration expenses $1,200,000 Sales expenses $900,000 It is requested: Calculate the total production cost, the unit cost and prepare the Statement of Result both by the absorbent method and the variable method.

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Sigrid
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119 Answers
Para calcular el costo total de producción, primero encontraremos los costos totales variables y fijos del periodo.

Costos y gastos variables del periodo por unidad:
- Materiales directos (MPD): $170 por unidad
- Mano de obra directa (MOD): $310 por unidad
- Costos indirectos de fabricación (CIF): $145 por unidad

Costo total variable por unidad = MPD + MOD + CIF
Costo total variable por unidad = $170 + $310 + $145 = $625 por unidad

Costos fijos del periodo:
- Costos indirectos de fabricación (CIF): $700,000
- Gastos de administración: $1,200,000
- Gastos de ventas: $900,000

Costo total fijo del periodo = CIF + Gastos de administración + Gastos de ventas
Costo total fijo del periodo = $700,000 + $1,200,000 + $900,000 = $2,800,000

Costo total de producción por unidad = Costo total variable por unidad + Costo total fijo del periodo
Costo total de producción por unidad = $625 + ($2,800,000 / 5,000) = $625 + $560 = $1,185 por unidad

Ahora que tenemos el costo total de producción por unidad, podemos calcular el costo total de producción.

Costo total de producción = Costo total de producción por unidad * Producción terminada
Costo total de producción = $1,185 * 5,000 = $5,925,000

Para confeccionar el Estado de Resultado por el método absorbente:
Ingresos por ventas = Precio de venta * Producción vendida
Ingresos por ventas = $1,730 * 4,100 = $7,093,000

Costo de ventas = Costo total de producción * Producción vendida
Costo de ventas = $5,925,000 * 4,100 = $24,282,500

Utilidad bruta = Ingresos por ventas - Costo de ventas
Utilidad bruta = $7,093,000 - $24,282,500 = -$17,189,500

Impuesto a la renta = 27% * Utilidad bruta
Impuesto a la renta = 0.27 * -$17,189,500 = -$4,640,565

Utilidad neta = Utilidad bruta - Impuesto a la renta
Utilidad neta = -$17,189,500 - -$4,640,565 = -$12,548,935

Para confeccionar el Estado de Resultado por el método variable:
Ingresos por ventas = $1,730 * 4,100 = $7,093,000
Costo variable total = Costo total variable por unidad * Producción vendida
Costo variable total = $625 * 4,100 = $2,562,500

Contribución marginal = Ingresos por ventas - Costo variable total
Contribución marginal = $7,093,000 - $2,562,500 = $4,530,500

Utilidad antes de impuestos = Contribución marginal - Costos fijos del periodo
Utilidad antes de impuestos = $4,530,500 - $2,800,000 = $1,730,500

Impuesto a la renta = 27% * Utilidad antes de impuestos
Impuesto a la renta = 0.27 * $1,730,500 = $467,535

Utilidad neta = Utilidad antes de impuestos - Impuesto a la renta
Utilidad neta = $1,730,500 - $467,535 = $1,262,965

**Respuesta:**
El costo total de producción es $5,925,000.
El Estado de Resultado por el método absorbente muestra una utilidad neta de -$12,548,935.
El Estado de Resultado por el método variable muestra una utilidad neta de $1,262,965.

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