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

Multiple Choice

Solve the problem.
-The total sales in dollars of some small businesses fluctuates according to the equation $\mathrm { S } = \mathrm { A } + \mathrm { B } \sin \pi \mathrm { x } / 6$ , where $\mathrm { x }$ is the time in months, with $\mathrm { x } = 1$ corresponding to January, $\mathrm { A } = 7900$ , and $B = 2500$ . Determine the month with the greatest total sales and give the sales in that month.

A) June; $\$ 7900$
B) December; $\$ 10,400$
C) March; $\$ 10,400$
D) September; $\$ 5400$