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Tutorial 4: Elasticity (cont.)

 

Price elasticity of supply

 

Price elasticity of supply (Eps) measures how responsive the quantity supplied is to a change in product price. Mathematically:

Price elasticity of supply is measured as the percentage change in quantity supplied divided by the percentage change in price.

Price elasticity of demand is equal to the slope of the supply equation times the ratio of current price over quantity.

The term (The change in Q over the change in P.), measures the slope of the supply curve, and the term (P/Q) measures the price (P) and quantity (Q) values for a point on that supply curve. If we write the equation for supply as Q(P) = c + d*P, then

Eps = d*(P/Q) where d > 0.

Similarly, if we write the equation for supply in inverse form, P(Q) = (c/d) + (1/d)*Q, then

Eps = (1/d)*(P/Q) where d > 0.

These latter forms of the equation for price elasticity of supply are referred to as the point-slope formulae. Because d > 0 (do you know why?), Eps > 0 as well.

 

Determinants of price elasticity of supply Top of page.

So far we have learned two ways to calculate price elasticity of supply:

  1. using numerical data, as the ratio of the percentage changes in Q and P;
  2. using the known equation for supply (or inverse supply), as the product of the slope coefficient and the ratio of the price and quantity values for a point on that supply curve.

But what if we have neither the numerical data nor an equation describing demand? One can still get a feeling for how responsive sellers will be to a price change by remembering the four determinants of seller responsiveness:

  1. Storage costs;
  2. Time;
  3. Adaptability of the production process;
  4. Resource costs.

The cost of storing goods in inventory affects the size of a firm's responsiveness to a change in price. If goods are inexpensive to store, then sellers will be very responsive to a price change because they can cheaply hold a larger inventory of goods. If it is quite costly to store goods, then sellers will not be very responsive to a price change because they are likely to have a small inventory of goods on hand.

The amount of time firms have to respond to a price change affects the size of that response. For most goods, in the short run, sellers are limited to their current production capacity. They can almost always offer more for sale by working more shifts, for example, but the size of their response is limited. So in the short run, supply tends to be price inelastic. [In the immediate period, supply tends to perfectly price inelastic; right now, a seller is limited to stock on hand and often is not able to offer any more for sale as a result of an increase in price.] Given time, however, firms can expand their production capacity and produce a greater quantity of goods per period. So in the long run, supply tends to be price elastic.

The adaptability of the production process also affects how responsive a firm can be to an increase in price. If the production process can easily be changed, then the size of the firm's response will be greater than when it takes years to change how it produces goods.

If resource costs are high, then an increase in output will be very expensive for a firm. As a result, the firm will not be as responsive to an increase in price as they would if resource costs are lower.

 

Now it's time to "do the thing".

Click on the following link to download the Price Elasticity Workbook. Work through General Question 7and Excel Question 11 to improve your understanding of price elasticity of supply.

Return here when you have finished.

Need help downloading the Excel file?