## 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.

## Answers

#### Similar Solved Questions

5 answers

##### For the decomposition of dinitrogen tetroxide: NO(g) = 2NO(g) Write down the expresion of KeKc0.31b) Ifa reaction mixture at equilibrium contains [N,Oa]-0.4SM and knowing that Kc-0.31, calculate [NO]

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]...

2 answers

##### ChlS relewMultin 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 AnnrerIS0 /Fcrthc Lrcntinn 3A+58 _20-4D.the malc 0f the Iaclivn tenns of HAJID: would be written A4 44444 44]444If the rte 0f fonnuatina of chlorinc triflucrida 0.260 Ms, #hat is thc rle of disappearance ofFz? Cle) + 3 FJc) Cl3() C Aei C0 780 Ma ~0,043} Ms ~0J90 Ms~lenng cunductarpnMcu

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...

4 answers

##### Find 013 and Czz, vhere2A 38,333] and B = 3 -1|' -5Need Help?Read ItIkte_ Tutor[Show My Work (Requlred) What steps Or reasoning did Yoj Lie? Your work Coln? towaro; your 3core You can gubmit ahow my "cr unlimite numbe ~fiimes

Find 013 and Czz, vhere 2A 38, 333] and B = 3 -1|' -5 Need Help? Read It Ikte_ Tutor[ Show My Work (Requlred) What steps Or reasoning did Yoj Lie? Your work Coln? towaro; your 3core You can gubmit ahow my "cr unlimite numbe ~fiimes...

5 answers

##### Soiving appucO Piobictshalf-life tte body of L5 Suppase jadent tazes one 200. mg plll at 5 (uph 210 another identical pill 45 min later: Calculate tte cettaln dnyg has Inount dna left his tcdy at 7 COPM.sure Ycur anser hussymbol nexessary; and rourd $ t0 sign fican: diqies;

Soiving appucO Piobicts half-life tte body of L5 Suppase jadent tazes one 200. mg plll at 5 (uph 210 another identical pill 45 min later: Calculate tte cettaln dnyg has Inount dna left his tcdy at 7 COPM. sure Ycur anser hus symbol nexessary; and rourd $ t0 sign fican: diqies;...

5 answers

##### Question 31 (1 point) The trans-Canada pipellna Alberta and British farries natural Bas (in Iiquid forii) trom the gas-helds in narrows Columnbia to Ihe rest of the country to the east' slightly at each pumping Station Tne pipellne sections of the pipeline? (Assume How wnuld you comnpare nLLW and wlde the that this fluid Is moving horizontally and exhibits properties ol an ideal fluld)Gas travels at higher veloclty and hieher the pipe pressure Ilirough narrow sections ofGas travels at lower

Question 31 (1 point) The trans-Canada pipellna Alberta and British farries natural Bas (in Iiquid forii) trom the gas-helds in narrows Columnbia to Ihe rest of the country to the east' slightly at each pumping Station Tne pipellne sections of the pipeline? (Assume How wnuld you comnpare nLLW a...

5 answers

##### Convert the binary expansion of each of these integers to a decimal expansion.a) $(11111)_{2}$b) $(1000000001)_{2}$c) $(101010101)_{2}$d) $(110100100010000)_{2}$

Convert the binary expansion of each of these integers to a decimal expansion. a) $(11111)_{2}$ b) $(1000000001)_{2}$ c) $(101010101)_{2}$ d) $(110100100010000)_{2}$...

5 answers

##### The sixth term and the eleventh term of an arithmetic progression are 30 and 55 respectively. Find the twentyfirst term of the series.(A) $88 rac{1}{3}$(B) 105(C) 110(D) $92 rac{1}{2}$

The sixth term and the eleventh term of an arithmetic progression are 30 and 55 respectively. Find the twentyfirst term of the series. (A) $88 \frac{1}{3}$ (B) 105 (C) 110 (D) $92 \frac{1}{2}$...

1 answers

##### Part II In a recent survey conducted by the Pew Research Center for the People \& the Press, a random sample of adults 18 years of age or older living in the continental United States was asked their reaction to the word capitalism. In addition, the individuals were asked to disclose which political party they most associate with. Results of the survey are given in the table. (a) Does the evidence suggest a different proportion of individuals within each political affiliation reacts positive

Part II In a recent survey conducted by the Pew Research Center for the People \& the Press, a random sample of adults 18 years of age or older living in the continental United States was asked their reaction to the word capitalism. In addition, the individuals were asked to disclose which polit...

1 answers

##### Perform the addition or subtraction and use the fundamental identities to simplify. $$\frac{1}{\sec x+1}-\frac{1}{\sec x-1}$$

Perform the addition or subtraction and use the fundamental identities to simplify. $$\frac{1}{\sec x+1}-\frac{1}{\sec x-1}$$...

5 answers

##### 10 pointsSavedQuestion 7subsidence inversion occurs primarily at night: takes place primarily near the ground: usually occurs at altitudes well above ground: occuIs usually during daylight hours10 pointsSavedQuesTion 8A commercial jet plane often cruises at an allitude of about 35,OOOfeet (about miles ). If the lapse rate i5 Flmile what is the temperature outside the plane It is 75 "F at sea level? mile =5280 feet) 132 57 F 30 F 75 FQUEstion 910 pointsSavedAbout 40% of the radiation coming

10 points Saved Question 7 subsidence inversion occurs primarily at night: takes place primarily near the ground: usually occurs at altitudes well above ground: occuIs usually during daylight hours 10 points Saved QuesTion 8 A commercial jet plane often cruises at an allitude of about 35,OOOfeet (ab...

5 answers

##### Aeida plarie electromagnetic wave has maximum electuc ficld magnitude amplitude.10*3 Vlm Find the maximum magneticNumberUnitsthe tolerance I 4/-200

Aeida plarie electromagnetic wave has maximum electuc ficld magnitude amplitude. 10*3 Vlm Find the maximum magnetic Number Units the tolerance I 4/-200...

5 answers

##### Q1. Determine the directional derivative of v2 where vexyi+zy2j+*z? k at the point (2, 0, 3) in the direction of (he outward normal to the sphere x+y? + 22 =14 at (he point (3,2, 1).

Q1. Determine the directional derivative of v2 where vexyi+zy2j+*z? k at the point (2, 0, 3) in the direction of (he outward normal to the sphere x+y? + 22 =14 at (he point (3,2, 1)....

5 answers

##### Which is the derivative for yANz8?32dd d d8 552 Vzs32 c7d

Which is the derivative for y ANz8? 32 d d d d 8 55 2 Vzs 32 c7 d...

5 answers

##### ParACalculate the kinetic energy in J ol an electron moving al 6.00 L0" rs, The mass 0l an eleciton Is 9.11 > I0r6.56 * 10-141843.284.98249SubmnilRequezt Anwcr

ParA Calculate the kinetic energy in J ol an electron moving al 6.00 L0" rs, The mass 0l an eleciton Is 9.11 > I0r 6.56 * 10-14 184 3.28 4.98 249 Submnil Requezt Anwcr...

5 answers

##### Keud andhen complete lable cukaryolic cell cycle Exkaryotic cell cycle consists of Interphase is the Interphase and M phase: longest phase replicates DNA to during which cell grows and get ready for cell division Interphase consists of G,(I" gap) is time of cell growth S (synthesis of DNA) G,(2" gap) is time to get ready for cell division M phase (mitosis and cytokinesis) Mitosis - division of nucleus divides sister chromatids into 2 cells: Each daughter cell gets an identical set of c

Keud andhen complete lable cukaryolic cell cycle Exkaryotic cell cycle consists of Interphase is the Interphase and M phase: longest phase replicates DNA to during which cell grows and get ready for cell division Interphase consists of G,(I" gap) is time of cell growth S (synthesis of DNA) G,(2...

5 answers

##### 3) simplitytront coontntSolyc lor x Expressyour final an5vct using Intenvol notettanI2x- 71>135] Considcr fx) grpbce brlovg. Usethc same coordinztc plane t0 erzph slr)= Ax* 3) + &Subtrzst and simplly: 7 %+2 07) Solve (orr;4

3) simplity tront coontnt Solyc lor x Expressyour final an5vct using Intenvol notettan I2x- 71>13 5] Considcr fx) grpbce brlovg. Usethc same coordinztc plane t0 erzph slr)= Ax* 3) + & Subtrzst and simplly: 7 %+2 0 7) Solve (orr; 4...

4 answers

##### Table 4. Pairwise comparison matrix developed for subbasin 43 based on Cost at the watershed outlet.BMPsSCRMCTNGNTSC RM CT NG NT1.92885906Step 2: All criteria have the same weightSR TN TP Cost0.25 0.25 0.251 0.251

Table 4. Pairwise comparison matrix developed for subbasin 43 based on Cost at the watershed outlet. BMPs SC RM CT NG NT SC RM CT NG NT 1.92885906 Step 2: All criteria have the same weight SR TN TP Cost 0.25 0.25 0.251 0.251...

5 answers

##### The equilibrium constant for the chemical equationNz(g) + 3Hz(g) ~ 2NH;(g)is Kp = 0.0641 at 217 *C. Calculate the value of Kc for the reaction at 217 'C.Kc

The equilibrium constant for the chemical equation Nz(g) + 3Hz(g) ~ 2NH;(g) is Kp = 0.0641 at 217 *C. Calculate the value of Kc for the reaction at 217 'C. Kc...

5 answers

##### A linear map T : Rt + R2 cant be one-to-one: (Hint: Think about the standard matrix of T) TrueFalse

A linear map T : Rt + R2 cant be one-to-one: (Hint: Think about the standard matrix of T) True False...

3 answers

##### Suppose that U1, 02 ,Ukare a spanning collection of vectors for RIlWhat must be true about the size ofkwith respect to n?Ok<n0k2n0 *=n

Suppose that U1, 02 , Ukare a spanning collection of vectors for RIl What must be true about the size ofkwith respect to n? Ok<n 0k2n 0 *=n...