Question 1. The Chair of the Management Department at UB wants to construct a p-chart for determining whether the four faculty members teaching the MGMT 339 course are under control with regards to the number of students who fail in the course. Accordingly, the Chair sampled 100 final grades from last year for each instructor, and computed the proportion of failures per instructor as .03, .02, 0, and .03 respectively.
a) Evaluate the lower and upper control limits for this chart.
b) A newly hired adjunct taught a class of 50 students this semester and 4 students failed the class. Is the process still in control?
Question 2. The Yummy Ice cream company has sold the given number of gallons of ice cream for the past three days. Complete the missing entries using a = 0.4. You must give details of calculations for all entries.
|
Period
|
Dt
|
Ft
|
et
|
MADt
|
Tracking Signal
|
|
0
|
|
|
|
1
|
|
|
1
|
20
|
16
|
|
|
|
|
2
|
26
|
|
|
|
|
|
3
|
14
|
|
|
|
|
Question 3. A company has the given forecast demand for the next five months: 1,600, 2,400, 3,200, 2,800, and 2,400. The following information is also available.
current work force = 15
workdays/month = 20
labor hours/unit = 2
working time/day = 8
hiring cost/worker = $100
layoff cost/worker = $50
Inventory, overtime, stockouts, and subcontracting are not allowed. Only hiring and layoff are allowed to respond to fluctuations in demand. Evaluate the total cost of hiring and layoff during the five-month period.