A Proctor and Gamble Factory Process Fills Boxes with Detergent

question 96

Multiple Choice

A Proctor and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight (in ounces) of eight samples is presented below. A sample size of six was used.
$\begin{array} { c c c } \text { Sample } & \text { Sample Mean } & \text { Sample Range } \\\hline 1 & 15.80 & 0.42 \\2 & 16.10 & 0.38 \\3 & 16.02 & 0.08 \\4 & 15.95 & 0.15 \\5 & 16.12 & 0.42 \\6 & 16.18 & 0.23 \\7 & 15.87 & 0.36 \\8 & 16.20 & 0.40\end{array}$ Worksheet (this will not be graded but will help you answer exam questions)

-For the Proctor and Gamble detergent box problem, the upper control limit for the range chart is _____.

• A) less than or equal to 0.6
• B) more than 0.6 but less than or equal to 0.7
• C) more than 0.7 but less than or equal to 0.8
• D) more than 0.8

---

Definitions:

Average Total Cost

The total cost of production divided by the number of goods produced, representing the cost per unit of output.

Marginal Revenue

The additional income from selling one more unit of a good; it is the change in total revenue that comes from selling an additional unit.

Long-run Supply Curve

A graphical representation that shows the relationship between the price of a good and the quantity supplied by producers over a longer period, when all inputs can be fully adjusted.

Break-even Point

The financial state at which total costs and total revenues are equal, indicating that a business or project is neither at a loss nor making a profit.