Tomfoolery Tomfoolery

24-04-2015
Mathematics

Answered

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?

Answer :

jzakoian jzakoian

24-04-2015

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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