Manufacturing firms often produce products that are related to one another. Some products are substitutes, meaning that consumers can use one in place of another, while others are complements, meaning that they are normally used together. Understanding these relationships is essential for production planning, pricing, marketing, and investment decisions. Cross Elasticity of Demand (XED) provides a useful measure of how the demand for one product responds to a change in the price of another related product.
Meaning of Cross Elasticity of Demand
Cross Elasticity of Demand measures the responsiveness of the quantity demanded of one commodity to a change in the price of another commodity, assuming other factors remain constant.
It is expressed as:
XED = Percentage change in quantity demanded of Product X ÷ Percentage change in price of Product Y
The sign of cross elasticity provides important information about the relationship between the two products.
If XED is positive, the products are generally substitutes. If the price of Product Y increases, consumers shift toward Product X, causing its demand to increase. The larger the positive value, the stronger the substitutability.
If XED is negative, the products are complements. An increase in the price of Product Y reduces its demand and consequently reduces the demand for Product X as well. The larger the negative value, the stronger the complementary relationship.
When XED is approximately zero, the two products are relatively unrelated, because a price change in one has little effect on demand for the other.
Cross Elasticity and Complementary Products
Consider a manufacturing firm producing industrial printers and specialized printer cartridges. The two products are complementary because customers require cartridges to operate the printers.
Suppose the firm increases the price of its cartridges. Customers may purchase fewer cartridges, and this could reduce demand for its printers because the overall cost of operating the printer has increased. Therefore, the cross elasticity between printers and cartridges would generally be negative.
For a manufacturer producing complementary products, this relationship has major practical significance. The firm should not price each product independently. It must consider the effect of a price change in one product on demand for the other.
For example, the firm could reduce the price of printers to increase the installed customer base and earn additional revenue from cartridges and other accessories. This is sometimes called a razor-and-blades strategy, in which one product is sold relatively cheaply while complementary products generate continuing revenue.
Cross elasticity also helps with production planning. If demand for the main product is expected to increase, the firm should ensure adequate production of its complementary products. Failure to do so could create shortages and reduce customer satisfaction.
Cross Elasticity and Close Substitutes
Now consider a manufacturer producing two similar electric motors, Model A and Model B. Customers may choose either model depending on price, performance, availability, and other characteristics. The products are close substitutes.
If the firm increases the price of Model A, some customers may switch to Model B. Consequently, the demand for Model B increases. The cross elasticity between the two products is therefore positive.
This information is particularly valuable for pricing decisions. If two products produced by the same firm are close substitutes, managers must consider the effect of changing the price of one on the demand for the other. Increasing the price of one product may not necessarily increase total company revenue because customers may simply switch to the firm's other product.
The firm can also use cross elasticity to segment its market. It may position one product as a premium model and another as a budget model, using differences in quality, features, and price to appeal to different customer groups. In this way, the company can reduce excessive competition between its own products while maximizing total market coverage.
Practical Significance for Manufacturing Firms
Cross elasticity has several practical applications.
1. Pricing decisions: It helps managers predict how changing the price of one product will influence demand for related products.
2. Production planning: Knowledge of complementary relationships enables firms to coordinate the production of products that are consumed together. Knowledge of substitution allows firms to shift production toward products experiencing increased demand.
3. Product portfolio management: Firms can identify whether their products compete with or support one another. This helps in deciding which products to expand, modify, or discontinue.
4. Competitive analysis: Cross elasticity can indicate how strongly a firm's product competes with rival products. A high positive cross elasticity suggests that customers can readily switch between alternatives.
5. Marketing strategy: Firms can design bundled offers for complementary products and differentiated pricing strategies for substitutes.
6. Investment decisions: Before introducing a new product, managers can examine whether it will complement existing products or reduce their sales through cannibalization.
Example
Suppose a manufacturer produces two types of industrial pumps, A and B. If the price of Pump A rises by 10% and demand for Pump B rises by 15%, the cross elasticity of demand is:
XED = 15% ÷ 10% = +1.5
The positive value indicates that the pumps are substitutes, and the relatively high value suggests strong substitution. If, instead, the firm produces a pump and a specialized maintenance kit, and a 10% increase in the kit's price causes demand for pumps to fall by 5%, the cross elasticity would be −0.5, indicating a complementary relationship.
Conclusion
Cross Elasticity of Demand is an important tool for understanding relationships among products. Positive cross elasticity indicates substitutes, negative cross elasticity indicates complements, and zero or near-zero elasticity indicates unrelated products. For a manufacturing firm producing both complementary products and close substitutes, XED helps coordinate pricing, production, marketing, and investment decisions. By understanding how products influence one another, the firm can minimize cannibalization, exploit complementary demand, respond to competitors, and maximize overall profitability rather than evaluating each product in isolation.
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