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

question 22

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; \(\$ 5400\)

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Definitions:

Labeling Technique

A persuasion strategy that assigns a label to an individual and then requests a favor consistent with that label, influencing behavior.

Commitment and Consistency

The psychological principle that suggests individuals strive to be consistent in their beliefs and behaviors, especially once a commitment is made.

Inflated Request

A strategy where an initially large and unreasonable request is made with the expectation of settling for a lesser demand.

Door-in-the-face Technique

A persuasion strategy where an initial, large request is made expecting refusal, followed by a smaller, more reasonable request.