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5. The total cost C (x) in Rupees associ...

5. The total cost C (x) in Rupees associated with the production of x units of an item is given by `C (x)= 0,007 x^3- 0.003 x^2 +15x+ 4000`. Find the marginal cost when 17 units are produced.

Text Solution

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`C(x)=0.007x^3-0.003x^2+15x+4000`
`dc(x)/dx=0.021x^2-0.006x+15`
`0.021X17^2-0.006X17+15=20.967`
Marginal cost will be `20.967`
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