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The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000`. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output. |
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Answer» `C(x)=0.005x^3-0.02x^2+30x+5000` `(d(cx))/dx=(d(0.005x^3))/dx-(d(0.02))/dx+(d(30))/dx+0` `=0.005(3x^2)-0.02(2x)+30xx1` `=0.005(3xx9)-0.02(2xx3)+30` `=0.135-0.012+30` `=30.015` `(dc)/(dx)=30.015` |
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