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# (Average cost and marginal cost) If it costs a manufacturer $C(x)$ dollars to produce $x$ items, then his average cost of production is $C(x) / x$ dollars per item....

## Question

###### (Average cost and marginal cost) If it costs a manufacturer $C(x)$ dollars to produce $x$ items, then his average cost of production is $C(x) / x$ dollars per item. Typically the average cost is a decreasing function of $x$ for small $x$ and an increasing function of $x$ for large $x$. (Why?) Show that the value of $x$ that minimizes the average cost makes the average cost equal to the marginal cost.

(Average cost and marginal cost) If it costs a manufacturer $C(x)$ dollars to produce $x$ items, then his average cost of production is $C(x) / x$ dollars per item. Typically the average cost is a decreasing function of $x$ for small $x$ and an increasing function of $x$ for large $x$. (Why?) Show that the value of $x$ that minimizes the average cost makes the average cost equal to the marginal cost. #### Similar Solved Questions

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For the decomposition of dinitrogen tetroxide: NO(g) = 2NO(g) Write down the expresion of Ke Kc0.31 b) Ifa reaction mixture at equilibrium contains [N,Oa]-0.4SM and knowing that Kc-0.31, calculate [NO]...
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ChlS relew Multin Ghnice M Ian /T4" Gaia= best complcles Wemim thc rcaxtion Cl() [email protected]) 2C15,60 5 Jt tnc Avcree first 6 00 < bow much CIF; will fora durins this time? 0.7s0 M 'ol Jispprarance ol Fi is 02s0 Annrer IS0 / Fcrthc Lrcntinn 3A+58 _20-4D.the malc 0f the Iaclivn tenns of HAJID: w...
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