Question

Suppose that the cost function for the production of a particular item is given by the equation C(x) = 2x^2 - 280x + 12,620, where x represents the number of items. How many items should be produced to minimize the cost?

Answer 1

C'(x)= 4x-280 set it equal to zero and you get x= to 70

Answer 2

Also using algebra we can simply find the vertex, the"lowest point"