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[intro_supply_demand] Update typos
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lectures/intro_supply_demand.md

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@@ -33,7 +33,7 @@ Exports were regarded as good because they brought in bullion (gold flowed into
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Imports were regarded as bad because bullion was required to pay for them (gold flowed out).
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This [zero-sum](https://en.wikipedia.org/wiki/Zero-sum_game) view of economics was eventually overturned by the work of the classical economists such as [Adam Smith](https://en.wikipedia.org/wiki/Adam_Smith) and [David Ricado](https://en.wikipedia.org/wiki/David_Ricardo), who showed how freeing domestic and international trade can enhance welfare.
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This [zero-sum](https://en.wikipedia.org/wiki/Zero-sum_game) view of economics was eventually overturned by the work of the classical economists such as [Adam Smith](https://en.wikipedia.org/wiki/Adam_Smith) and [David Ricardo](https://en.wikipedia.org/wiki/David_Ricardo), who showed how freeing domestic and international trade can enhance welfare.
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There are many different expressions of this idea in economics.
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We will not try to cover these ideas here, partly because the subject is too big, and partly because you only need to know one rule for this lecture, stated below.
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If $f(x) = c + \mathrm{d} x$, then
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If $f(x) = c + dx$, then
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$$
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\int_a^b f(x) \mathrm{d} x = c (b - a) + \frac{d}{2}(b^2 - a^2)
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Observe that the equilibrium quantity equals the same $q$ given by equation {eq}`eq:old1`.
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The outcome that the quantity determined by equation {eq}`eq:old1` equates
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supply to demand brings us a **key finding:**
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supply to demand brings us a *key finding*:
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* a competitive equilibrium quantity maximizes our welfare criterion
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In addition
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* we'll derive **demand curves** from a consumer problem that maximizes a
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**utility function** subject to a **budget constraint**.
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* we'll derive *demand curves* from a consumer problem that maximizes a
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*utility function* subject to a *budget constraint*.
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* we'll derive **supply curves** from the problem of a producer who is price
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taker and maximizes his profits minus total costs that are described by a **cost function**.
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* we'll derive *supply curves* from the problem of a producer who is price
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taker and maximizes his profits minus total costs that are described by a *cost function*.
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## Exercises
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