MAT210 Brief Calculus
MAT210 Brief Calculus MAT210
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This 2 page Class Notes was uploaded by Sarah Booth on Friday October 7, 2016. The Class Notes belongs to MAT210 at Arizona State University taught by Jay Abramson in Fall 2016. Since its upload, it has received 7 views. For similar materials see Brief Calculus in Business at Arizona State University.
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Date Created: 10/07/16
MAT210 BriefCalculus ArizonaStateUniversity Lectureby:JayAbramson 11.2MarginalAnalysis Profit=RevenueCost Marginal=Derivative P(x)=R(x)-C(x) P’(x)=R’(x)-C’(x) P(x)=(price)x-C(x) C(10)=2000 Costtoproduce10itemsus$2000 C’(10)=5 11thitemis$5 C(11)-C(10)=5.50 Exactcostof11thitemis$5.50 Example1 C(x)=0.025x +8x+10 Costtoproducexitems Eachitemsellsfor 10-0.01x (price) a) Findthemarginalcostatx=10 C’(x)=0.05x+8 C’(10)=0.05(10)+8= $8.50 b) Findtheexactcostofthe11thitem answersshouldbesimilar C(11)-C(10)=101.03-92.50= $8.53 GraphingCalculatorFunctions: 2 1. Entertheoriginalequationintoy= (0.025x +8x+10) 2. 2ndWindow,Independent:MakesureAskishighlighted 3. 2ndTable,Enter: 11,10 c)Findthemarginalrevenueatx= 10 2 R(x)=(10-0.01x)x = 10x-0.01x R’(x)=10-0.02x R’(10)=10-0.02(10)= $9.80 SarahBooth d)Findthemarginalprofit 10x= $1.50 P’(10)=R’(10)-C’(10)=9.80-8.50= e)Findtheaveragecost 2 C=C(x) = 0.025x +8x+10 = 0.025x +8x+ 10 x x x Happy Studying! SarahBooth
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