[Editor’s note: We’re bringing back price theory with our series on Price Theory problems with Professor Bryan Cutsinger. You can view the previous problem and Cutsinger’s solution here and here. Share your proposed solutions in the Comments. Professor Cutsinger will be present in the comments for the next two weeks, and we’ll again post his proposed solution shortly thereafter. May the graphs be ever in your favor, and long live price theory!]
Question: Suppose that cotton and wool are substitutes. In addition, suppose that the supply of cotton is upward sloping while the supply of wool is perfectly elastic. Evaluate: A new production technique that increases the supply of cotton will reduce the quantity of wool supplied, but there will be no change in the price of wool and, thus, no change in the demand for cotton.
Solution: We can illustrate this solution graphically. The figure on the left hand side represents the market for wool, while the figure on the right hand side represents the market for cotton.
