求成本函数,已知边际成本c1(x)=2+1/∫x,固定成本为10,求总成本及产量由x=20增加

2022-04-13 娱乐 105阅读
1)y1=a(x-k)^2+2(k>0),y1+y2=x^2+6x+12

=>y2=x^2+6x+12-y1
=>y2=x^2+6x+12-[a(x-k)^2+2]==>当x=k时,y2=17
=>k^2+6k+12-2=17
==>k1=1,k2=-7
==>k>0==>k=1
2)y2=x^2+6x+12-[a(x-k)^2+2]
==>y2=x^2+6x+12-[a(x-1)^2+2]
==>y2=[1-a]x^2+[6+2a]x+10-a
==>-b/2a=-[6+2a]/2[1-a]=-1
==>a=-1
==>y1=a(x-k)^2=-(x-1)^2=-x^2+2x-1
y2=[1+1]x^2+[6-2]x+10+1=2x^2+4x+11
3)y1=y2==>-x^2+2x-1=2x^2+4x+11
==>3x^2+2x+12=0==>Δ=-140<0==>无交点
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