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\frac{\frac{q_{A,2}-q_{A,1}}{q_{A,1}}}{\frac{p_{B,2}-p_{B,1}}{p_{B,1}}} += \frac{\text{percentage change in quantity of A}}{\text{percentage change in price of B}} +$$ + +## Example + +![A question from the book (page 91)](./images/xed_question.png) + +Here, product A is the CNC machining system and product B is the control software. + +Quantity of product A sold can be found using $revenue = price \times quantity$: + +$$quantity_1 = \frac{2\,250\,000}{11\,000} = 205$$ +$$quantity_2 = \frac{4\,850\,000}{11\,000} = 441$$ + +$$\text{percentage change in quantity of A} = \frac{441-205}{205} = 1.156$$ +$$\text{percentage change in price of B} = \frac{2600-6800}{6800} = -0.618$$ + +$$\text{XED} = \frac{1.156}{-0.618} = -1.871$$