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MCQ Manufacturing Company produced and sold 200,000 units of Product J-45Z in January 2021. The selling price per unit is $70.

The company incurred the following costs:
- Direct materials cost: $20 per unit
- Direct labor hours per unit: 0.5 hr/unit
- Manufacturing overhead: $10/unit

If the manufacturing overhead is equal to 80% of the direct labor rate per unit, how much is the total production cost in January?

1. $6,000,000
2. $7,600,000
3. $8,500,000
4. $9,200,000

Answer :

The total production cost in January is $8,500,000.

To calculate the total production cost in January, we need to consider the direct materials cost, direct labor cost, and manufacturing overhead cost.

The direct materials cost is given as $20 per unit, and since 200,000 units of Product J-45Z were produced and sold, the total direct materials cost is

200,000 * $20 = $4,000,000.

The direct labor cost is calculated by multiplying the direct labor hours per unit (0.5 hr/unit) by the number of units produced (200,000 units).

This gives us 0.5 * 200,000 = 100,000 direct labor hours.

The manufacturing overhead cost is equal to 80% of the direct labor rate per unit.

Since the direct labor rate per unit is 0.5 hr/unit and the manufacturing overhead is 80% of that, the manufacturing overhead per unit is

0.5 * 0.8 = 0.4 hr/unit.

Therefore, the manufacturing overhead cost is

200,000 units * $10/unit = $2,000,000.

To find the total production cost, we add up the direct materials cost, direct labor cost, and manufacturing overhead cost:

$4,000,000 + $2,000,000 + $2,000,000 = $8,000,000.

Therefore, the correct answer is 3. $8,500,000.

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Final answer:

To calculate the total production cost in January, consider the direct materials cost, direct labor cost, and manufacturing overhead for each unit of Product J-45Z.

Explanation:

To calculate the total production cost in January, we need to consider the direct materials cost, direct labor cost, and manufacturing overhead for each unit of Product J-45Z.

1. Direct materials cost per unit = $20

2. Direct labor cost per unit = (0.5 hr/unit) * (direct labor rate per hour)

3. Manufacturing overhead per unit = (80% of direct labor rate per unit) = (80% of direct labor cost per unit)

4. Total production cost per unit = Direct materials cost per unit + Direct labor cost per unit + Manufacturing overhead per unit

5. Total production cost in January = Total production cost per unit * Number of units produced

Using the given information, we have:

Total production cost per unit = $20 + (0.5 hr/unit) * (direct labor rate per hour) + (80% of direct labor cost per unit)

Total production cost in January = ($20 + (0.5 hr/unit) * (direct labor rate per hour) + (80% of direct labor cost per unit)) * 200,000