The cost function is the mathematical relationship between the cost of a product and its various determinants. In this function, the unit cost or total cost is the dependent variable. In this article, we will look at the fixed and variable factors corresponding to the short and long runs of time and focus on short-run total costs.
Browse more Topics under Theory Of Cost
- Cost Concepts
- Short Run Average Costs
- Long Run Average Cost Curve
- Economies and Diseconomies of Scale
Total | Fixed | Variable Costs
During production, some factors are easily adjustable to sync with any change in the level of output. For example, a firm employs more workers to increase output or purchases more raw material to step-up production. These are variable factors.
However, factors like building, capital equipment, etc. are not so easily adjustable. The firm usually requires a longer time to make changes in them. These factors are fixed factors.
Based on the understanding of variable and fixed factors, let’s look at the short run and long run periods of time to better understand short-run total costs.
A short run is a period of time wherein the firm increases the output by making changes only to the variable factors like labor, raw material, etc. Also, quantities of fixed factors cannot be changed in the short run. Therefore, the short run is a period of time in which only the variable factors change, the fixed factors remain unaltered.
Long run, on the other hand, is a period of time in which the firm can make changes to all factors to get the desired output. Hence, we can say that in the long run, all factors become variable. It is important to note here that these factors, fixed or variable, result in costs. Take a look at the following diagrams:
In Fig. 1, we can see that fixed costs are independent of the output. That is, they do not change with any change in the output. The firm incurs these costs in the short run regardless of the size of the output. The firm has to bear these costs even if it closes down operations in the short run. Usually, fixed costs include charges like rent, insurance premium, maintenance costs, taxes, etc.
In Fig. 2, we can see that variable costs change with changes in the output. Variable costs include payments like wages, prices of raw material, power consumption, etc. If a firm shuts operation in the short run, then it does not use the variable factors of production and hence, does not incur variable costs.
These costs are neither perfectly fixed nor variable in relation to the changes in the output. For example, electricity charges include a fixed charge and a variable charge based on consumption. Fig. 3 shows a graph of semi-variable costs vs. output.
Stair-step Variable Costs
These costs increase in a stair-step fashion as shown in Fig. 4 below. They remain fixed over a certain range of output and suddenly jump to a new higher level when the output goes beyond a certain limit. For example, one foreman can handle a certain volume of work. Once the volume increase beyond his capacity, the firm needs to hire another foreman which doubles the salary cost for the firm.
Short Run Total Costs Curves
The total cost (TC) of business is the sum of the total variable costs (TVC) and total fixed costs (TFC). Hence, we have
TC = TFC + TVC
The following diagram represents the TC, TFC, and TVC (short-run total costs)
As we can see, the TFC curve starts from a point on the Y-axis and is parallel to the X-axis. This implies that even if the output is zero, the firm incurs a fixed cost.
The TVC curve, on the other hand, rises upwards. This implies that TVC increases as the output increases. This curve starts from the origin which shows that variable costs are nil when the output is zero.
The total cost curve (TC) is obtained by adding the TFC and TVC vertically.
Solved Questions on Short Run Total Costs
Q1. Total cost in the short run is classified into fixed costs and variable costs. Which one of the following is a variable cost?
- Cost of raw materials.
- Cost of equipment.
- Interest payment on past borrowings.
- Payment of rent on the building.
Answer: From the options given above, we can note that the costs of equipment, rent and interest payment on past borrowings are fixed in nature. These are unavoidable costs. Hence, the answer to the question is Option a – cost of raw materials – which varies with changes in the output.
Q2. Which of the following statements is correct concerning the relationships among the firm’s functions?
- TC = TFC – TVC.
- TVC = TFC – TC.
- TFC = TC – TVC.
- TC = TVC – TFC.
We know that the total cost (TC) of business is the sum of the total variable costs (TVC) and total fixed costs (TFC). Hence,
TC = TFC + TVC
Therefore, option c is the correct statement concerning the relationships among the firm’s functions.