Subpart (a):
Calculate the marginal cost, average total cost , variable cost and total cost.
Subpart (a):
Explanation of Solution
Table -1 shows the value of the
Table -1
Quantity | Average variable cost |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
The variable cost can be calculated by using the following formula:
Substitute the respective values in Equation (1) to calculate the variable cost.
Thus, the variable cost is $1.
Table -2 shows the value of the variable cost obtained by using Equation (1).
Table -2
Quantity | Average variable cost | Variable cost |
1 | 1 | 1 |
2 | 2 | 4 |
3 | 3 | 9 |
4 | 4 | 16 |
5 | 5 | 25 |
6 | 6 | 36 |
The total cost can be calculated by using the following formula:
Substitute the respective values in Equation (2) to calculate the total cost.
Thus, the total cost is $17.
Table -3 shows the value of the total cost obtained by using Equation (2).
Table – 3
Quantity | Average variable cost | Variable cost | Total cost |
1 | 1 | 1 | 17 |
2 | 2 | 4 | 20 |
3 | 3 | 9 | 25 |
4 | 4 | 16 | 32 |
5 | 5 | 25 | 41 |
6 | 6 | 36 | 52 |
The marginal cost can be calculated by using the following formula:
Substitute the respective values in Equation (3) to calculate the marginal cost.
Thus, the marginal cost is $3.
Table -4 shows the value of the marginal cost obtained by using Equation (3).
Table -4
Quantity | Average variable cost | Variable cost | Total cost | Marginal cost |
1 | 1 | 1 | 17 | – |
2 | 2 | 4 | 20 | 3 |
3 | 3 | 9 | 25 | 5 |
4 | 4 | 16 | 32 | 7 |
5 | 5 | 25 | 41 | 9 |
6 | 6 | 36 | 52 | 11 |
The average total cost can be calculated by using the following formula:
Substitute the respective values in Equation (4) to calculate the average total cost.
Thus, the average total cost is $17.
Table -5 shows the value of the average total cost obtained by using Equation (4).
Table -5
Quantity | Average variable cost | Variable cost | Total cost | Marginal cost | Average total cost |
1 | 1 | 1 | 17 | – | 17 |
2 | 2 | 4 | 20 | 3 | 10 |
3 | 3 | 9 | 25 | 5 | 8.33 |
4 | 4 | 16 | 32 | 7 | 8 |
5 | 5 | 25 | 41 | 9 | 8.20 |
6 | 6 | 36 | 52 | 11 | 8.67 |
Concept introduction:
Marginal cost: Marginal cost refers to the additional cost incurred from producing one more additional unit of output.
Average total cost: The average total cost is the total cost per unit of the output produced by a firm.
Average variable cost: Average variable cost refers to the variable cost per unit.
Average total cost: Average total cost refers to the total cost per unit.
Subpart (b):
Total supply in the market.
Subpart (b):
Explanation of Solution
Suppose the equilibrium price is $10, then the firm will produce 5 units of the output because the market price exceeds the marginal cost at 5th unit. Since, there are 100 firms entering the market, the quantity supplied in the market is 500 units
Concept introduction:
Supply: Supply refers to the total value of the goods and services that are available for the purchase at a particular price in a given period of time.
Subpart (c):
Long run profit.
Subpart (c):
Explanation of Solution
In the long-run, a firm can enter or exit the market. In this transition, when a firm enters the market, price will still fall at the minimum average total cost. Since the market price is $10, which is higher than the minimum of the average total cost of $8. So, the new firm’s entry will result in a decrease in the price level. When the price decreases, the quantity demand will increase. Also, the quantity of the supply decreases because the newly entered firm will continue to produce only when the price equals the average total cost. So, beyond that equilibrium state the firm will produce zero
Concept introduction:
Long run: Thelong run refers to the time, which changes the production variable to adjust to the market situation.
Subpart (d):
Long run supply.
Subpart (d):
Explanation of Solution
Figure – 1 shows the long-run supply curve for the market.
From the above figure, the x-axis represents the quantity of output and the y-axis represents the price and cost.
Concept introduction:
Supply: Supply refers to the total value of the goods and services that are available for the purchase at a particular price in a given period of time.
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Chapter 14 Solutions
Principles of Microeconomics
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