A) \[0.075{{x}^{2}}+2x+100\]
B) \[0.15{{x}^{2}}+3x+30\]
C) \[{{x}^{2}}+100.075x+100\]
D) None of these It is given that c (0) = 100
Correct Answer: A
Solution :
[a] [Note derivative of a function is sometimes called as the marginal value, especially in economics] Given \[\frac{dc}{dx}=2+0.15x\] Integrating we get \[c(x)=2x+0.15\frac{{{x}^{2}}}{2}+D\] when \[x=0,c(x)=100\Rightarrow D=100\] \[\therefore \] the required equation is \[c(x)=0.075{{x}^{2}}+2x+100\]
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