The following table shows the total cost schedule of a firm. What is the total fixed cost schedule of this fir

Exercises · Q25

The following table shows the total cost schedule of a firm. What is the total fixed cost schedule of this firm? Calculate the $TVC$ , $AFC$ , $AVC$ , $SAC$ and $SMC$ schedules of the firm.

$Q$	$TC$ (Rs)
0	10
1	30
2	45
3	55
4	70
5	90
6	120

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Concept understanding — Cost Concepts

Cost Concepts: From Everyday Intuition to Economic Precision

Think about the last time you bought something — say, a plate of chole bhature from a roadside stall. The stall owner paid for flour, oil, spices, gas, and the helper's wages. That's the obvious cost. But what about the rent of the cart? The interest on the loan he took to buy the stove? And what about the fact that he could have worked as a driver instead — the income he gave up? That last one is a cost too, though no money changed hands.

That's where economics begins to separate itself from simple accounting. Costs are not just what you pay; they are what you sacrifice.

The Core Idea: Opportunity Cost

The single most important cost concept in economics is opportunity cost. The NCERT Class-12 textbook defines it clearly: opportunity cost is the cost of the next best alternative foregone.

Important

Opportunity cost = value of the next best alternative that you give up when you make a choice.

Why does this matter? Because resources — time, money, land, labour — are scarce. Every choice has a hidden cost: the thing you didn't choose. When the stall owner chooses to run his stall, he gives up the salary he could have earned as a driver. That foregone salary is a real cost, even if it never appears in his cash register.

Explicit vs Implicit Costs

From opportunity cost, we get two categories:

Explicit costs — actual money payments made to others (wages, rent, raw materials, electricity bills). These are recorded in the books.
Implicit costs — the value of self-owned resources used in production, for which no explicit payment is made. The owner's own labour, his own capital, his own land — these have opportunity costs that are not paid to anyone else.

Note

In accounting, only explicit costs are counted. In economics, both explicit and implicit costs matter, because economics is about the full sacrifice.

Total, Average, and Marginal Costs

Once we move to production, costs are studied in relation to output. The NCERT textbook introduces these three measures:

Total Cost (TC)

The sum of all costs — explicit and implicit — incurred to produce a given level of output.

Average Cost (AC)

Cost per unit of output.

AC = \frac{TC}{Q}

where $Q$ is the quantity of output.

Marginal Cost (MC)

The additional cost incurred to produce one more unit of output.

MC = \frac{\Delta TC}{\Delta Q}

where $\Delta$ means "change in".

Tip

MC is the cost of the last unit produced. AC is the cost of all units averaged. They behave differently as output changes.

Short-Run vs Long-Run Costs

This distinction is crucial. In the short run, at least one factor of production is fixed (typically capital — factory size, machinery). In the long run, all factors are variable.

Short-Run Cost Categories

Cost	Symbol	Definition
Total Fixed Cost	TFC	Cost that does not change with output (rent, insurance, interest on loans)
Total Variable Cost	TVC	Cost that changes with output (raw materials, wages of daily workers, electricity)
Total Cost	TC	$TC = TFC + TVC$

From these, we derive:

Average Fixed Cost (AFC) = $\frac{TFC}{Q}$ — falls continuously as output rises.
Average Variable Cost (AVC) = $\frac{TVC}{Q}$ — typically U-shaped.
Average Cost (AC) = $\frac{TC}{Q} = AFC + AVC$

Watch out

A common mistake: thinking that AC and AVC are the same. They are not. AC includes AFC, so AC always lies above AVC. The gap between them is AFC, which shrinks as output increases.

The Shape of the Curves

Imagine a graph with output on the horizontal axis and cost on the vertical axis.

TFC is a horizontal straight line — it never changes. …

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The total fixed cost (TFC) is the cost incurred when the output level is zero. From the given table, when $Q=0$ , the total cost ( $TC$ ) is Rs 10. Therefore, the total fixed cost for this firm is Rs 10, and it remains constant at all levels of output.

The various cost schedules are calculated using the following formulas:

TFC = TC \text{ at } Q=0

Using these formulas, we can calculate the required schedules:

$Q$	$TC$ (Rs)	$TFC$ (Rs)	$TVC$ (Rs)	$AFC$ (Rs)	$AVC$ (Rs)	$SAC$ (Rs)	$SMC$ (Rs)
0	10	10	0	-	-	-	-
1	30	10	$30-10=20$	$10/1=10.00$	$20/1=20.00$	$30/1=30.00$	$30-10=20$
2	45	10	$45-10=35$	$10/2=5.00$	$35/2=17.50$	$45/2=22.50$	$45-30=15$
3	55	10	$55-10=45$	$10/3=3.33$	$45/3=15.00$	$55/3=18.33$	$55-45=10$

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This problem requires understanding and applying various short-run cost concepts to a given total cost schedule. The key is to first identify total fixed cost (TFC) at zero output, then derive total variable cost (TVC), and subsequently calculate average fixed cost (AFC), average variable cost (AVC), short-run average cost (SAC), and short-run marginal cost (SMC) using their respective formulas.

In the short run, a firm's total costs are divided into two main categories: fixed costs and variable costs. Understanding these distinctions is crucial for analyzing a firm's production decisions and profitability. Fixed costs are those expenses that do not change with the level of output in the short run, such as rent for factory space or salaries of permanent administrative staff. These costs are incurred even if the firm produces zero output. Variable costs, on the other hand, are expenses that vary directly with the level of output, such as raw material costs or wages for production workers. As output increases, variable costs increase, and as output decreases, they fall.

The total cost (TC) at any level of output is simply the sum of total fixed cost (TFC) and total variable cost (TVC). From these total cost figures, we can derive various per-unit costs, which provide insights into the efficiency of production. Average fixed cost (AFC) tells us the fixed cost per unit of output, average variable cost (AVC) tells us the variable cost per unit, and short-run average cost (SAC) gives the total cost per unit. Finally, short-run marginal cost (SMC) measures the change in total cost (or total variable cost) resulting from producing one additional unit of output.

Let's calculate each of these schedules step-by-step using the provided total cost data.

1. Total Fixed Cost (TFC) Schedule

Total Fixed Cost (TFC) is the cost incurred by the firm even when no output is produced. Looking at the given table, when the quantity ( $Q$ ) is 0, the Total Cost ( $TC$ ) is Rs 10. This Rs 10 represents the fixed cost of the firm, as it must be paid regardless of production. Since fixed costs do not change with output in the short run, the TFC will remain constant at Rs 10 for all levels of output.

TFC = TC \text{ when } Q = 0

Therefore, the TFC schedule is:

$Q$	$TFC$ (Rs)
0	10
1	10
2	10
3	10
4	10
5	10
6	10

2. Total Variable Cost (TVC) Schedule

Total Variable Cost (TVC) is the portion of total cost that changes with the level of output. It can be calculated by subtracting the Total Fixed Cost (TFC) from the Total Cost (TC) at each level of output.

TVC = TC - TFC

Let's calculate TVC for each output level:

For $Q=0$ : $TVC = 10 - 10 = 0$
For $Q=1$ : $TVC = 30 - 10 = 20$
For $Q=2$ : $TVC = 45 - 10 = 35$
For $Q=3$ : $TVC = 55 - 10 = 45$
For $Q=4$ : $TVC = 70 - 10 = 60$
For $Q=5$ : $TVC = 90 - 10 = 80$
For $Q=6$ : $TVC = 120 - 10 = 110$

3. Average Fixed Cost (AFC) Schedule

Average Fixed Cost (AFC) is the fixed cost per unit of output. It is calculated by dividing Total Fixed Cost (TFC) by the quantity of output ( $Q$ ). As output increases, the fixed cost is spread over more units, so AFC continuously declines.

AFC = \frac{TFC}{Q}

Watch out

AFC is undefined at $Q=0$ because division by zero is not possible.

Let's calculate AFC for each output level:

For $Q=0$ : $AFC$ is undefined.
For $Q=1$ : $AFC = \frac{10}{1} = 10$
For $Q=2$ : $AFC = \frac{10}{2} = 5$
For $Q=3$ : $AFC = \frac{10}{3} \approx 3.33$
For $Q=4$ : $AFC = \frac{10}{4} = 2.5$
For $Q=5$ : $AFC = \frac{10}{5} = 2$
For $Q=6$ : $AFC = \frac{10}{6} \approx 1.67$

4. Average Variable Cost (AVC) Schedule

Average Variable Cost (AVC) is the variable cost per unit of output. It is calculated by dividing Total Variable Cost (TVC) by the quantity of output ( $Q$ ).

AVC = \frac{TVC}{Q}

Watch out

AVC is undefined at $Q=0$ .

Let's calculate AVC for each output level:

For $Q=0$ : $AVC$ is undefined.
For $Q=1$ : $AVC = \frac{20}{1} = 20$
For $Q=2$ : $AVC = \frac{35}{2} = 17.5$
For $Q=3$ : $AVC = \frac{45}{3} = 15$
For $Q=4$ : $AVC = \frac{60}{4} = 15$
For $Q=5$ : $AVC = \frac{80}{5} = 16$
For $Q=6$ : $AVC = \frac{110}{6} \approx 18.33$

5. Short-run Average Cost (SAC) Schedule

Short-run Average Cost (SAC), also known as Average Total Cost (ATC), is the total cost per unit of output. It can be calculated by dividing Total Cost (TC) by the quantity of output ( $Q$ ), or by summing Average Fixed Cost (AFC) and Average Variable Cost (AVC).

SAC = \frac{TC}{Q} \quad \text{or} \quad SAC = AFC + AVC

Watch out

SAC is undefined at $Q=0$ .

Let's calculate SAC for each output level:

For $Q=0$ : $SAC$ is undefined.
For $Q=1$ : $SAC = \frac{30}{1} = 30$ (or $10 + 20 = 30$ )
For $Q=2$ : $SAC = \frac{45}{2} = 22.5$ (or $5 + 17.5 = 22.5$ )
For $Q=3$ : $SAC = \frac{55}{3} \approx 18.33$ (or $3.33 + 15 = 18.33$ )
For $Q=4$ : $SAC = \frac{70}{4} = 17.5$ (or $2.5 + 15 = 17.5$ )
For $Q=5$ : $SAC = \frac{90}{5} = 18$ (or $2 + 16 = 18$ ) …

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Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.

Showing the 12 most recent of 47 on this concept.

CBSE 2026Set MARCH1 markMCQ
$Q. Change in total cost for an additional unit change in output is$
(a) Average Fixed Cost
(b) Average Variable Cost
(c) Marginal Cost
(d) Average Cost
›Reveal solutionSolution

Marginal cost is the addition to total cost from producing one more unit of output, so the answer is (c).

…

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CBSE 2026Set MARCH1 markMCQ
$Q. Find the Total Cost, where TFC is Rs. 200 and TVC is Rs. 225.$
(a) a) 125
(b) b) 225
(c) c) 425
(d) d) 25
›Reveal solutionSolution

TC = TFC + TVC = 200 + 225 = Rs. 425, so the correct option is (c) 425.

In cost analysis, Total Cost (TC) is always the sum of Total Fixed Cost (TFC), which does not change with output, and Total Variable Cost (TVC), which changes with output.

Given TFC = Rs. 200 and TVC = Rs. 225:

TC = TFC + TVC = 200 + 225 = Rs. 425.

…

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CBSE 2026Set ANNUAL1 markMCQ
$Q. Which of the following is the shape of total fix cost curve? [FIGURE: four option graphs on X-Y axes — A) a horizontal straight line parallel to the X-axis; B) a vertical straight line parallel to the Y-axis; C) a downward-sloping curve falling left to right; D) an upward-rising curve sloping up to the right] A) [graph A] B) [graph B] C) [graph C] D) [graph D]$
›Reveal solutionSolution

The total fixed cost curve is a horizontal line parallel to the output (X) axis, so the answer is A.

Total Fixed Cost (TFC) is the cost of fixed factors and does not change with the level of output — the firm pays the same amount whether it produces one unit or many. When plotted with output on the X-axis and cost on the Y-axis, a constant value traces a horizontal straight line parallel to the X-axis. (The options shown as [FIGURE] describe: A) a horizontal line, B) a vertical line, C) a downwa …

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CBSE 2026Set ANNUAL1 mark
$Q. Fill in the blank: Longrun average cost curve is a ________ shaped curve.$
›Reveal solutionSolution

The blank is filled by 'U' (U-shaped).

In the long run all factors are variable. As output expands, the firm first enjoys economies of scale, so long-run average cost (LAC) falls; beyond the optimum scale, diseconomies of scale set in and LAC rises. This fall-then-rise behaviour gives the long-run average cost curve its characterist …

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CBSE 2026Set ANNUAL1 markMCQ
$Q. Write True or False: The average fixed cost curve is a rectangular hyperbola.$
(a) True
(b) False
›Reveal solutionSolution

True — the AFC curve is a rectangular hyperbola.

Average fixed cost (AFC) = Total Fixed Cost ÷ Output. Since total fixed cost is constant, AFC falls continuously as output increases, but it never touches the X-axis (it approaches zero). Because the product of AFC and output (= TFC) is always constant, the AFC cu …

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CBSE 2025Set MARCH1 markMCQ
$Q. Find Total Cost, when TFC is 100 and TVC is 125.$
(a) a) 25
(b) b) 125
(c) c) 175
(d) d) 225
›Reveal solutionSolution

TC = TFC + TVC = 100 + 125 = 225, so option (d).

In the theory of costs, Total Cost (TC) of a firm at any output is the sum of its Total Fixed Cost (TFC), which does not vary with output, and its Total Variable Cost (TVC), which varies with output …

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CBSE 2025Set ANNUAL1 markMCQ
$Q. With the increase in production the difference between total and total fixed cost (A) remains constant (B) increases (C) decreases (D) both increases and decreases$
›Reveal solutionSolution

The difference between total cost and total fixed cost is total variable cost, which rises as output rises; the answer is (B).

Total Cost (TC) is made up of Total Fixed Cost (TFC) and Total Variable Cost (TVC): TC = TFC + TVC. Therefore the difference between total cost and total fixed cost is exactly the total variable cost: TC - TFC = TVC. Fixed cost stays the same at all output levels, but variable cost increases as more output is produced (more raw material, labour and …

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CBSE 2025Set ANNUAL1 markMCQ
$Q. The alternative name of opportunity cost is (A) Economic cost (B) Equilibrium price (C) Marginal cost (D) Average cost$
›Reveal solutionSolution

Opportunity cost is also known as economic cost, so the answer is (A) Economic cost.

Opportunity cost is the value of the next-best alternative that has to be given up when a resource is used for a particular purpose. For example, if land is used to grow wheat, the opportunity cost is the value of the rice that could have been grown on it instead.

…

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CBSE 2025Set ANNUAL1 markMCQ
$Q. TFC + TVC = ? (A) Total cost (B) Average cost (C) Marginal cost (D) None of these$
›Reveal solutionSolution

TFC + TVC = Total Cost, so the answer is (A) Total cost.

A firm's total cost of production has two parts. Total Fixed Cost (TFC) does not change with output (rent, insurance, salary of permanent staff). Total Variable Cost (TVC) changes directly with the level of output (raw material, wages of casual labour, power).

…

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CBSE 2025Set ANNUAL1 markMCQ
$Q. Which of the following curve has rectangular hyperbola shape? (A) Average variable cost curve (B) Total fixed cost curve (C) Average fixed cost curve (D) Total variable cost curve$
›Reveal solutionSolution

AFC = TFC/output, and since TFC is constant, AFC continually falls, tracing a rectangular hyperbola, so (C) is correct.

In the RBSE/CBSE Class-12 production-and-costs chapter, Average Fixed Cost (AFC) = Total Fixed Cost ÷ Output. Total fixed cost is constant, so as output rises the fixed cost is distributed over more and more units, making AFC fall continuously.

…

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CBSE 2025Set ANNUAL1 markMCQ
$Q. Difference between total cost and total variable cost is equal to - (A) Average cost (B) Total fixed cost (C) Marginal cost (D) Average fixed cost$
›Reveal solutionSolution
Since TC = TFC + TVC, it follows that TC − TVC = TFC, so (B) is correct.

In the RBSE/CBSE Class-12 production-and-costs chapter, total cost in the short run has two parts:

Total Fixed Cost (TFC) — does not change with output.

Total Variable Cost (TVC) — rises with output.

Thus TC = TFC + TVC. Rearranging this identity:

…
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CBSE 2025Set ANNUAL1 markMCQ
$Q. Which one of the following is true? The total variable cost is equal to:$
(a) The average variable cost x quantity
(b) The average variable cost / quantity
(c) The marginal variable cost x quantity
(d) The marginal variable cost / quantity
›Reveal solutionSolution

Total Variable Cost = Average Variable Cost × quantity, so the answer is (a).

Average Variable Cost (AVC) is defined as total variable cost per unit of output: AVC = TVC ÷ Q. Rearranging this gives TVC = AVC × Q. Therefore total variable cost is equal to averag …

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←Previous questionQ24 — The following table gives the marginal product schedule of labour. It …→Next questionQ26 — The following table gives the total cost schedule of a firm. It is als…

1. Total Fixed Cost (TFC) Schedule

2. Total Variable Cost (TVC) Schedule

3. Average Fixed Cost (AFC) Schedule

4. Average Variable Cost (AVC) Schedule

5. Short-run Average Cost (SAC) Schedule

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