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18 February, 17:46

A manufacturer has daily costs given by the function C = 20,000 - 220x + 0.045x^2 where C is the cost and x is the number of units produced. How many units should be produced each day to yield the minimum cost for production?

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  1. 18 February, 18:03
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    Optimum is reached when the derivate equals zero

    derivate of C is 2*0.045x-220 which is 0.09x-220

    0.09x-220=0

    x=220/0.09

    x=2444,44 say 2445 units.
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