Solve the Problem $C(x)=100,000+21 x+\frac{x^{2}}{10,000}$ , Where $x$ Is the Number of Graphing Calculators Manufactured

Multiple Choice

Solve the problem.
-The cost function for the manufacture of graphing calculators is given by $C(x) =100,000+21 x+\frac{x^{2}}{10,000}$ , where $x$ is the number of graphing calculators manufactured.
Using the appropriate domain, sketch the graph of the average cost $\bar{C}$ to manufacture $x$ graphing calculators. Find the absolute minimum on the graph of $\overline{\mathrm{C}}$ . What do the coordinates of the absolute minimum tell us?

A) The absolute minimum is at $(31,622.78,29.11)$ . This tells us that the average cost of a graphing calculator is minimized at $\$ 29.11$ per calculator when approximately 31,623 are produced.
B) The absolute minimum is at $(31,622.78,27.32)$ . This tells us that the average cost of a graphing calculator is minimized at $\$ 27.32$ per calculator when approximately 31,623 are produced.
C) The absolute minimum is at $(34,825.23,27.32)$ . This tells us that the average cost of a graphing calculator is minimized at $\$ 27.32$ per calculator when approximately $34,825.23$ are produced.
D) There is no absolute maximum.