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:

Regression Model

A statistical technique used to predict the value of an outcome variable based on one or more predictor variables.

Projection Model

An analytical tool used to forecast future events or trends based on current or historical data.

Scenario Forecast

A methodology used to anticipate future conditions or developments based on a set of possible scenarios.

Delphi Technique

A structured communication technique, often used in forecasting, which relies on a panel of experts answering questionnaires in two or more rounds to converge towards a consensus answer.