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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)= 0.007 x^3- 0.003 x^2 +15x+ 4000`. Find the marginal cost when 17 units are produced.

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Marginal cost is the rate of change of total cost with respect to output.
Marginal cost (MC)=`(dC)/dx=0.007(3x^2)-0.003(2x)+15=0.021x^2-0.006x+15`
Now When `x=17`,
MC=`20.967`
Hence, when 17 units are produced, the marginal cost is `Rs. 20.967`.
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.1
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  7. The total revenue in Rupees received from the sale of x units of a pr...

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  8. The total cost C (x) in Rupees associated with the production of x uni...

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  14. Find the rate of change of the area of a circle with respect to its r...

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  15. The volume of a cube is increasing at the rate of 8 c m^3//s. How fast...

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  16. The radius of a circle is increasing uniformly at the rate of 3 cm/s....

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  17. A balloon, which always remains spherical on inflation, is being infl...

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  18. A balloon, which always remains spherical, has a variable radius. Fin...

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