econ.studio
Supply and Demand
Section 3 of 9
Section 3

The Supply Curve

The law of supply says that sellers offer more of a good when its price is higher and less when its price is lower, all else equal. The direction is intuitive: if the price of a latte jumps from 4to4 to 6, pop-up coffee stands that couldn't break even at $4 suddenly can, and existing cafes run their machines longer to capture the margin.

The same logic applies in any secondhand market. When used-textbook prices spike at the start of a semester, students who might otherwise keep their copies dig them out and list them for sale. A higher price draws out sellers who would not have bothered at a lower one.

The upward slope reflects costs. Every additional unit produced is slightly more expensive to make than the last — this is the idea of marginal cost (the cost of producing one more unit). A higher market price is needed to cover the marginal cost of those extra units and to make it worthwhile for less-efficient producers to enter the market at all.

A supply schedule lists the quantity sellers are willing to offer at each price. The table below uses the default supply equation for this page, Qs=20+4PQ_s = -20 + 4P, to read off six price-quantity pairs.

Price ($)Quantity supplied
50
1020
1540
2060
2580
30100
Supply schedule for Qs=20+4PQ_s = -20 + 4P. At P = \5$ the quantity supplied is zero — that is the minimum price at which any seller enters this market.

Plotting price on the vertical axis and quantity on the horizontal gives the supply curve below. The two endpoints in the table — (0, 5)and(100,5) and (100, 30) — anchor the straight line.

The supply curve: Q_s = −20 + 4P

The curve begins at the point (0, 5): below a price of 5,nosellercoverstheircosts,soquantitysuppliediszero.Each5, no seller covers their costs, so quantity supplied is zero. Each 1 rise in price brings 4 more units to market.

The supply equation writes quantity supplied as a linear function of price. In the general form, cc is the quantity supplied when the price is zero and dd measures how strongly sellers respond to a price change — economists call dd the slope coefficient of the supply curve.

Qs=c+dPQ_s = c + dP
Linear supply equation. cc is the intercept (quantity at P=0P = 0); d>0d > 0 is the responsiveness of supply to price.

With the page defaults c=20c = -20 and d=4d = 4, the equation says sellers supply nothing until price reaches the break-even level -c/d = 20/4 = \5$. Above that threshold, every extra dollar of price brings 4 more units to market. The negative intercept is not a problem — it simply means the market only activates at a positive price.

The supply curve above holds all non-price factors fixed. When one of those factors changes, the entire curve shifts — sellers offer a different quantity at every price. The five main shifters are listed below.

Input costs
Wages, raw materials, energy, and other production costs. Higher input costs raise marginal cost and shift supply left; lower input costs shift it right.
Technology
Better production methods reduce the cost of each unit, shifting supply rightward — sellers can profitably offer more at any given price.
Seller expectations
If sellers expect prices to rise in the future, they may withhold supply now (shift left today) to sell at the higher price later.
Number of sellers
More firms in the market means more total supply at every price (rightward shift); exit of firms shifts supply left.
Weather (agricultural goods)
A good harvest shifts supply right; drought or disease reduces supply and shifts the curve left. Weather is the main short-run supply shifter for crops.

The chart below illustrates a rightward shift caused by a fall in input costs — equivalent to setting c=0c = 0 in the supply equation, so the curve becomes P=Q/4P = Q/4 (minimum supply price drops to zero). Notice that the slope of the curve is unchanged; only its position moves.

A rightward supply shift: lower production costs

Better technology — or a fall in input costs — shifts the entire curve to the right. At every price, sellers now offer more. The minimum supply price falls from 5to5 to 0 as the fixed costs that previously priced out low-volume producers are reduced.