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.

Expert avatar
Sigrid
4.5
120 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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