Hands-On Calendar has found that the cost per card of producing $x$ pocket calendar cards is given by $C^{\prime}(x)=-0.06 x+50$, for $x \leq 800$, where $C(x)$ is the cost, in cents, per card. Find the total cost, in dollars, of producing 550 cards.
A. $\$ 0.17$
B. $\$ 0.34$
C. $\$ 368.50$
D. $\$ 184.25$

Step 1 ：The cost per card is given by the derivative of the cost function, \(C^{\prime}(x)=-0.06 x+50\).

Step 2 ：To find the total cost of producing 550 cards, we need to evaluate this function at \(x=550\) and then multiply by the number of cards, 550.

Step 3 ：The cost per card is \(17.0\) cents.

Step 4 ：The total cost in cents is \(9350.0\) cents.

Step 5 ：Since the cost is given in cents, we need to convert it to dollars by dividing by 100.

Step 6 ：The total cost in dollars is \(93.5\) dollars.

Step 7 ：Final Answer: The total cost, in dollars, of producing 550 cards is \(\boxed{93.5}\). However, this option is not available in the given choices. There might be a mistake in the problem or in my calculations.