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when no more than 110 units are produced, the cost of producing x units is given by

C(x)=.2x^3 - 25x^2 + 1531x + 25,000

How many units should be produced in order to have the lowest possible average cost?

4 answers

C '(x) = .6x^2 - 50x + 1531
= 0 for a max/min of C

solve using the quadratic formula
This quadratic has no real roots, I will leave it up to you to interpret that result.
may i ask how you came up with this equation? thank you
I took the derivative.
Is this not from a Calculus course ?
no its not. its from a business math course.but i think they're a pretty similar course?