c(x)=3x^3 - 12x^2 +9000x
c ' (x) = 9x^2 - 24x + 9000
= 0 for a max/min of c(x)
9x^2 - 24x + 9000 = 0
This equation has no real solution.
c(0) = 0, for all values of x > 0, c(x) increases
so our minimum cost is when we don't produce anything, (that actually makes sense), and the cost increases rapidly the more we produce
---> not a good business practise.
check your equation
suppose that c(x)=3x^3 - 12x^2 +9000x is the cost of manufacturing x items. find a production level that will minimize the average cost of making x items
1 answer