The cost, in rupees, of manufacturing toy cars in a small workshop is modelled by the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

The cost, in rupees, of manufacturing nn toy cars in a small workshop is modelled by the polynomial C(n)=n3−6n2+11n+10C(n)=n^3-6n^2+11n+10. (i) Calculate the cost of manufacturing 44 toy cars. (ii) A break-even point occurs when the cost is zero. Evaluate C(n)C(n) at n=1,2n=1,2 and 55 to find for which of these production levels, if any, the workshop breaks even. (iii) Write one sentence interpreting the result obtained in part (ii) for the workshop owner.

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