ECON 3411 Lecture Notes - Lecture 8: Inverse Demand Function, Inferior Good, Economic Surplus

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Are goods x and y: a(cid:374)s(cid:449)er: (cid:1843)(cid:1850) = (cid:1005)(cid:1006),(cid:1004)(cid:1004)(cid:1004) (cid:1007)(cid:894)(cid:1006)(cid:1004)(cid:1004)(cid:895)+(cid:1008)(cid:894)(cid:1005)(cid:1009)(cid:895) (cid:1005)(cid:894)(cid:1005)(cid:1004),(cid:1004)(cid:1004)(cid:1004)(cid:895)+(cid:1006)(cid:894)(cid:1006)(cid:1004)(cid:1004)(cid:1004)(cid:895) = (cid:1009),(cid:1008)(cid:1010)(cid:1004) units. Goods x: b(cid:455) setti(cid:374)g (cid:1842)(cid:1851) = and = ,000 and = 2,000 the demand function is (cid:1843)(cid:1850) = (cid:1005)(cid:1006),(cid:1004)(cid:1004)(cid:1004) (cid:1007)(cid:1842)(cid:1850) +(cid:1008)(cid:894)(cid:1005)(cid:1009)(cid:895) (cid:1005)(cid:894)(cid:1005)(cid:1004),(cid:1004)(cid:1004)(cid:1004)(cid:895)+(cid:1006)(cid:894)(cid:1006),(cid:1004)(cid:1004)(cid:1004)(cid:895: the linear demand function simplifies to (cid:1843)(cid:1850) = (cid:1010),(cid:1004)(cid:1010)(cid:1004) (cid:1007)(cid:1842)(cid:1850) and y are substitutes. Inverse demand function: sol(cid:448)i(cid:374)g this for (cid:1842)(cid:1850) in terms of (cid:1843)(cid:1850) results in (cid:1842)(cid:1850) = (cid:1006),(cid:1004)(cid:1006)(cid:1004) (cid:1005) (cid:1007) (cid:1843)(cid:1850, (cid:449)hich is called the i(cid:374)(cid:448)erse de(cid:373)a(cid:374)d fu(cid:374)ctio(cid:374). This fu(cid:374)ctio(cid:374) is used to co(cid:374)struct a market demand curve. The value consumers get from a good but do not have to pay for. Consumer surplus will prove particularly useful in marketing and other disciplines emphasizing strategies like value pricing and price discrimination. The company offers a lot of bang for the buck. Total value greatly exceeds the total amount paid. They tried to squeeze the very last cent from me! Total amount paid is close to total value.

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