Math Problem Statement
Solution
The image contains a table and some questions in Bengali related to production, average cost, total cost, and marginal cost. Here's how to interpret and solve the problem:
Given Table:
উৎপাদন (Production) | গড় ব্যয় (Average Cost) | মোট ব্যয় (Total Cost) | প্রান্তিক ব্যয় (Marginal Cost) |
---|---|---|---|
1 | 30 | 30 | - |
2 | 24 | - | - |
3 | - | 66 | - |
4 | 20 | - | - |
Step 1: Filling in the missing values
-
For Production = 2:
- Given Average Cost = 24.
- Total Cost .
-
For Production = 3:
- Given Total Cost = 66.
- Average Cost .
-
For Production = 4:
- Given Average Cost = 20.
- Total Cost .
Step 2: Calculating Marginal Cost
-
Marginal Cost (MC) is the additional cost incurred by producing one more unit.
-
For Production = 2:
. -
For Production = 3:
. -
For Production = 4:
.
Final Completed Table:
উৎপাদন (Production) | গড় ব্যয় (Average Cost) | মোট ব্যয় (Total Cost) | প্রান্তিক ব্যয় (Marginal Cost) |
---|---|---|---|
1 | 30 | 30 | - |
2 | 24 | 48 | 18 |
3 | 22 | 66 | 18 |
4 | 20 | 80 | 14 |
Answering the Questions:
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উৎপাদন কার্ভের ঝোঁক: The production curve shows a decreasing trend in average cost with an increase in production, which might indicate increasing returns to scale.
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মূল্যায়ন: The value of production may be evaluated by the decreasing marginal cost, which indicates efficiency in production.
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উৎপাদন স্থর: The production level at which the marginal cost starts to decrease.
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গড় ও প্রান্তিক ব্যয়ের সম্পর্ক: As seen in the table, when the average cost decreases, the marginal cost is also declining, which is a typical relationship in production cost analysis.
Additional Questions:
- What would happen to marginal cost if the total cost increased at a constant rate?
- How does a decrease in average cost affect the pricing strategy of a company?
- What is the significance of the marginal cost being lower than the average cost?
- How would the table change if fixed costs were introduced?
- How does the concept of economies of scale relate to the data in this table?
Tip: In production analysis, understanding the relationship between average and marginal costs is crucial for determining the optimal production level and pricing strategy.
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Math Problem Analysis
Mathematical Concepts
Production Cost Analysis
Marginal Cost
Average Cost
Formulas
Total Cost = Average Cost * Production
Average Cost = Total Cost / Production
Marginal Cost = Total Cost at current production - Total Cost at previous production
Theorems
-
Suitable Grade Level
Grade 10-12
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