Complete la siguiente tabla y grafique todos sus resultados: Complete la siguiente tabla y grafique todos sus resultados:

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Understand the Problem

El problema pide completar las tablas de costos de producción y graficar los resultados. Cada tabla requiere calcular el costo variable, el costo fijo y el costo marginal para diferentes niveles de producción. Los cálculos implican comprender las relaciones entre estos costos y cómo varían con la producción.

Answer

Here are the two tables completed: **Table 1:** | Producción | Costo total | Costo Variable | Costo Fijo | Costo Marginal | |---|---|---|---|---| | 0 | 50 | 0 | 50 | - | | 1 | 60 | 10 | 50 | 10 | | 2 | 75 | 25 | 50 | 15 | | 3 | 100 | 50 | 50 | 25 | | 4 | 150 | 100 | 50 | 50 | | 5 | 225 | 175 | 50 | 75 | | 6 | 400 | 350 | 50 | 175 | **Table 2:** | Producción | Costo total | Costo Variable | Costo Fijo | Costo Marginal | |---|---|---|---|---| | 0 | 60 | 0 | 60 | - | | 1 | 70 | 10 | 60 | 10 | | 2 | 90 | 30 | 60 | 20 | | 3 | 110 | 50 | 60 | 20 | | 4 | 140 | 80 | 60 | 30 | | 5 | 180 | 120 | 60 | 40 | | 6 | 230 | 170 | 60 | 50 |
Answer for screen readers

Table 1:

Producción Costo total Costo Variable Costo Fijo Costo Marginal
0 50 0 50 -
1 60 10 50 10
2 75 25 50 15
3 100 50 50 25
4 150 100 50 50
5 225 175 50 75
6 400 350 50 175

Table 2:

Producción Costo total Costo Variable Costo Fijo Costo Marginal
0 60 0 60 -
1 70 10 60 10
2 90 30 60 20
3 110 50 60 20
4 140 80 60 30
5 180 120 60 40
6 230 170 60 50

Steps to Solve

  1. Calculate Variable Cost (VC) for table 1. Variable cost is calculated by subtracting fixed cost (FC) from total cost (TC). Since fixed cost is constant, we know $VC = TC - FC$. For example, when production is 1: $VC = 60 - 50 = 10$.

  2. Complete table 1 using $VC = TC - FC$ Using this equation, we can fill in the variable cost for each level of production

  3. Calculate Marginal Cost (MC) for table 1 Marginal cost is the change in total cost when production increases by one unit. Therefore, $MC = \Delta TC / \Delta Q$, where $\Delta TC$ is the change in total cost and $\Delta Q$ is the change in quantity (production). For example, when production increases from 0 to 1: $MC = (60 - 50) / (1 - 0) = 10 / 1 = 10$.

  4. Complete table 1 using the marginal cost formula Using the formula in the previous step, we can fill in the marginal cost for each level of production

  5. Calculate Variable Cost (VC) for table 2. Variable cost is calculated by subtracting fixed cost (FC) from total cost (TC). Since fixed cost is constant, we know $VC = TC - FC$. For example, when production is 1: $VC = 70 - 60 = 10$.

  6. Complete table 2 using $VC = TC - FC$ Using this equation, we can fill in the variable cost for each level of production

  7. Calculate Marginal Cost (MC) for table 2 Marginal cost is the change in total cost when production increases by one unit. Therefore, $MC = \Delta TC / \Delta Q$, where $\Delta TC$ is the change in total cost and $\Delta Q$ is the change in quantity (production). For example, when production increases from 0 to 1: $MC = (70 - 60) / (1 - 0) = 10 / 1 = 10$.

  8. Complete table 2 using the marginal cost formula Using the formula in the previous steps, we can fill in the marginal cost for each level of production

Table 1:

Producción Costo total Costo Variable Costo Fijo Costo Marginal
0 50 0 50 -
1 60 10 50 10
2 75 25 50 15
3 100 50 50 25
4 150 100 50 50
5 225 175 50 75
6 400 350 50 175

Table 2:

Producción Costo total Costo Variable Costo Fijo Costo Marginal
0 60 0 60 -
1 70 10 60 10
2 90 30 60 20
3 110 50 60 20
4 140 80 60 30
5 180 120 60 40
6 230 170 60 50

More Information

  • Costo Fijo (Fixed Cost): No cambia con el nivel de producción.
  • Costo Variable (Variable Cost): Cambia con el nivel de producción.
  • Costo Marginal (Marginal Cost): Es el costo adicional de producir una unidad más.

Tips

  • Confundir costo fijo con costo variable.
  • Calcular incorrectamente el costo marginal al no considerar el cambio en la producción.
  • No aplicar correctamente la fórmula del costo variable (CT - CF).

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