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Analyzing the Cost Structure of a Business Producing 3 Million Units per Month

Individual Problems 3-7
1. A business incurs the following costs:
• Labor: $105/unit
• Materials: $20/unit
• Rent: $250,000/month
Assume the firm produces 3 million units per month.
The total variable cost, per month, is million.
The total fixed cost, per month, is million.
The total cost is million.

 

Sample Answer

 

 

 

Analyzing the Cost Structure of a Business Producing 3 Million Units per Month

In this scenario, we will calculate the total variable cost, total fixed cost, and total cost incurred by a business that produces 3 million units per month based on the provided cost components.

Given Cost Components:

– Labor: $105 per unit
– Materials: $20 per unit
– Rent: $250,000 per month
– Number of units produced: 3 million per month

Calculating Total Variable Cost:

Total Variable Cost = (Labor Cost per Unit + Material Cost per Unit) * Number of Units
Total Variable Cost = ($105 + $20) * 3,000,000
Total Variable Cost = $125 * 3,000,000
Total Variable Cost = $375,000,000

Hence, the total variable cost per month is $375 million.

Calculating Total Fixed Cost:

Total Fixed Cost = Rent per Month
Total Fixed Cost = $250,000

Hence, the total fixed cost per month is $250,000.

Calculating Total Cost:

Total Cost = Total Variable Cost + Total Fixed Cost
Total Cost = $375,000,000 + $250,000
Total Cost = $375,250,000

Therefore, the total cost incurred by the business producing 3 million units per month is $375.25 million.

By understanding the breakdown of variable and fixed costs, businesses can make informed decisions regarding pricing strategies, production levels, and overall financial performance. This analysis helps in optimizing cost efficiency and maximizing profitability in a competitive market environment.

 

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