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MAO 3.66a (3.62 i 99)

MAO 3.66a (3.62 i 99).

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MAO 3.66a (3.62 i 99)

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  1. MAO 3.66a (3.62 i 99) Total inntekt TI(Q) =4Q Total kostnad TC(Q) = 0,000001Q3 + Q + 1024 Res(Q) = TI(Q)-TC(Q) = 4Q -0,000001Q3 - Q - 1024 ==> Res(Q) = TI(Q)-TC(Q) = 3Q -0,000001Q3 - 1024 Res’(Q)=3 -0,000003Q2.Res’(Q)=0 <==> 3 - 0,000003Q2 = 0 ==>-0,000003Q2 = -3==> Q2 = 3/0,000003 = 1000.000 ==> Q = 1000max Res = Res(1000) = 3(1000) -0,000001(1000)3 - 1024 ==> Res(1000) = 976Ekstraservice: andrederiverte Res’’(Q)= -0,000006QRes’’(1000) = -0,000006(1000) =-0,006 <0 dvs. max. punktAlternativ måte å finne max Res(Q)Resultatet er størst når GK = GI (tilsv der Res’(Q)=0)GI(Q) =TI’(Q) = 4 GK = TC’(Q)= 0,000003Q2 + 1GK = GI <==> 0,000003Q2 + 1 = 4 ==>0,000003Q2 = 3 ==> Q2 = 3/0,000003 = 1000.000 ==> Q = 1000

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