Solve the Problem $S = A + B \sin \pi x / 6$

Solve the problem.
-The total sales in dollars of some small businesses fluctuates according to the equation $S = A + B \sin \pi x / 6$ , where $x$ is the time in months, with $x = 1$ corresponding to January, $A = 5800$ , and $B = 2600$ . Determine the month with the greatest total sales and give the sales in that month.

A) September; $\$ 3200$
B) June; $\$ 5800$
C) March; $\$ 8400$
D) December; $\$ 8400$

Correct Answer:

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