Question

C(x)=187.5x2−1500x+4000 dollars. Using calculus techniques we will determine the minimum cost. 1) To determine the minimum cost we need to 2) Consider the following choices for the derivative or marginal cost Option is the most appropriate for the derivative. 3) The critical point will be 4) From the first derivative test the minimum cost is This is because

Answer 1

`187.5cx {}^(3) - 1500x + 4000`

Explanation:

`1. \: 187.5cxx {}^(2) - 1500x + 4000 \\ 2. \: 187.5cx {}^(1+2) - 1500x + 4000 \\ 3. \: 187.5cx {}^(3) - 1500x + 4000`