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; $\$ 8400$

Question

Quizplus · Accepted Answer

The total sales are maximized when the sine function is at its maximum, which is 1. This occurs when $x = 3$ (March), making the total sales $S = 5800 + 2600 \cdot 1 = 8400$.

Solve the Problem S=A+Bsin⁡πx/6S = A + B \sin \pi x / 6S=A+Bsinπx/6

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