The Table Shows the Monthly Revenue Y (In Thousands of Dollars)of

question 13

Multiple Choice

The table shows the monthly revenue y (in thousands of dollars) of a landscaping business for each month of the year 2008,with x = 1 representing January.
$$\begin{array} { | c | c | } \hline x & y \\\hline 1 & 6.0 \\\hline 2 & 6.1 \\\hline 3 & 7.1 \\\hline 4 & 9.2 \\\hline 5 & 12.3 \\\hline 6 & 16.4 \\\hline 7 & 12.2 \\\hline 8 & 10.2 \\\hline 9 & 8.3 \\\hline 10 & 6.3 \\\hline 11 & 4.3 \\\hline 12 & 2.4 \\\hline\end{array}$$
A mathematical model that represents these data is: $$f ( x ) = \left\{ \begin{array} { l l } 0.505 x ^ { 2 } - 1.47 x + 7.0 & 1 \leq x \leq 6 \\- 1.97 x + 26.0 & 6 < x \leq 12\end{array} \right.$$
Find f (1) and f (12) .

• A) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.79\)
• B) \(f ( 1 ) = 3.360 , f ( 12 ) = 7.04\)
• C) \(f ( 1 ) = 6.035 , f ( 12 ) = 2.36\)
• D) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.54\)
• E) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.29\)

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Definitions:

Push-Based Strategy

A push-based strategy in supply chain management involves forecasting demand and producing goods ahead of customer orders, pushing them through the distribution channels to the end consumers.

Lean Production

A manufacturing methodology focused on minimizing waste and maximizing value by optimizing processes, resources, and customer satisfaction.

Anticipation of Demand

The process of forecasting future customer demand using historical data and trend analysis to plan and manage supply chain operations efficiently.

Offshore Sourcing

The practice of sourcing materials or products from suppliers located in foreign countries, often to reduce costs.