A manufacturer has daily production costs of C = 10,000- 10 x + o.0450(x Squared) Where C is the total cost in dollars and X is the hunber of units produced. How many units should be produced each day to yield a minimum cost?
I got c= 9999.995 which would round to 10, 000 units? Any where close?
C = 10,000 - 10x + 0.0450x² dC/dx = -10 + 0.09x d²c/dx² = 0.09 Put dC/dx = 0 - 10 + 0.09x = 0 0.09x = 10 x = 10/0.09 Substituting, C = 10.000 - 100/0.09 + 0.0450(10/0.09)² I am not too sure, maybe I went wrong somewhere