Assume That Order Prep Time Is Based on the Following

question 39

Essay

Assume that order prep time is based on the following distribution:
$$\begin{array} { | c | c | } \hline \text { Prep Time } & \text { Probability } \\\hline 3 & .10 \\\hline 4 & .20 \\\hline 5 & .25 \\\hline 6 & .20 \\\hline 7 & .15 \\\hline 8 & .10 \\\hline\end{array}$$
Complete the following table given that the random numbers for order prep time for customers 3, 4, and 5 are 62, 93, and 26, respectively.
$$\begin{array} { | c | c | c | c | c | c | c | } \hline \begin{array} { c } \text { Arrival } \\\text { Number }\end{array} & \begin{array} { c } \text { Time of } \\\text { Arrival }\end{array} & \begin{array} { c } \text { Time } \\\text { Order } \\\text { Taken }\end{array} & \begin{array} { c } \text { Order } \\\text { Prep } \\\text { Time }\end{array} & \begin{array} { c } \text { Customer } \\\text { Receives } \\\text { Food }\end{array} & \begin{array} { c } \text { Customer } \\\text { Wait } \\\text { Time }\end{array} & \begin{array} { c } \text { Cook } \\\text { "Idle" } \\\text { Time }\end{array} \\\hline 1 & 1 & 1 & 4 & 5 & 0 & 1 \\\hline 2 & 5 & 5 & 7 & 12 & 0 & 0 \\\hline 3 & 7 & & & & & \\\hline 4 & 10 & & & & & \\\hline 5 & 18 & & & & & \\\hline\end{array}$$
What is the average customer waiting time and the graduate student's utilization?

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Definitions:

Labor Rate Variance

The difference between the actual cost of direct labor and the estimated cost of direct labor at standard rates for the production achieved.

Labor Efficiency Variance

The difference between the actual hours worked to produce goods and the standard hours expected, multiplied by the standard labor rate, indicating efficiency in labor use.

Material Price Variance

The variance between the real price paid for materials and their anticipated (standard) price.

Material Quantity Variance

The difference between the actual quantity of materials used in production and the standard quantity expected, multiplied by the standard cost per unit.