The actual demand for the patients at Omaha Emergency Medical Clinic for the first 6 weeks of this year follows:

WEEK	ACTUAL NO. OF PATIENTS
1	65
2	62
3	70
4	48
5	63
6	52

Clinic administrator Marc Schniederjans wants you to forecast patient demand at the clinic for week 7 by using this data. You decide to use a weighted moving average method to find this forecast. Your method uses four actual demand levels, with weights of $0.333$ on the present period, $0.25$ one period ago, $0.25$ two peri= ods ago, and $0.167$ three periods ago.

If instead the weights were $20,15,15$, and 10 , respectively, how would the forecast change? Explain why.

The actual demand for the patients at Omaha Emergency Medical Clinic for the first 6 weeks of this year follows:

Clinic administrator Marc Schniederjans wants you to forecast patient demand at the clinic for week 7 by using this data. You decide to use a weighted moving average method to find this forecast. Your method uses four actual demand levels, with weights of 0.333 on the present period, 0.25 one period ago, 0.25 two periods ago, and 0.167 three periods ago.

What is the value of your forecast?

The actual demand for the patients at Omaha Emergency Medical Clinic for the first 6 weeks of this year follows:

Clinic administrator Marc Schniederjans wants you to forecast patient demand at the clinic for week 7 by using this data. You decide to use a weighted moving average method to find this forecast. Your method uses four actual demand levels, with weights of 0.333 on the present period, 0.25 one period ago, 0.25 two periods ago, and 0.167 three periods ago.

c) What if the weights were 0.40,0.30,0.20, and 0.10, respectively? Now what is the forecast for week 7 ?

The following gives the number of pints of type B blood used at Woodlawn Hospital in the past 6 weeks:

Use a 3-week weighted moving average, with weights of .1, .3, and .6, using .6 for the most recent week. Forecast demand for the week of October 12.

The following gives the number of pints of type B blood used at Woodlawn Hospital in the past 6 weeks:

c) Compute the forecast for the week of October 12 using exponential smoothing with a forecast for August 31 of 360 and $\alpha=.2$.

The following gives the number of pints of type B blood used at Woodlawn Hospital in the past 6 weeks:

Use a 3-week weighted moving average, with weights of $.1, .3$, and $.6$, using $.6$ for the most recent week. Forecast demand for the week of October 12 .

Daniel Glaser, chairman of the College of San Antonio's business department, needs to assign professors to courses next semester. As a criterion for judging who should teach each course, Professor Glaser reviews the past 2 years' teaching evaluations (which were filled out by students). Since each of the four professors taught each of the four courses at one time or another during the 2-year period, Glaser is able to record a course rating for each instructor. These ratings are shown in the following table. Find the assignment of professors to courses to maximize the overall teaching rating.

The monthly sales for Yazici Batteries, Inc., were as follows:

Forecast January sales using each of the following: i) Naive method. ii) A 3-month moving average. iii) A 6-month weighted average using .1, .1,.1, .2, .2, and .3, with the heaviest weights applied to the most recent months. iv) Exponential smoothing using an $\alpha=.3$ and a September forecast of 18. v) A trend projection.

The monthly sales for Yazici Batteries, Inc., were as follows:

With the data given, which method would allow you to forecast next March"s sales?

The monthly sales for Yazici Batteries, Inc., were as follows:

Forecast January sales using each of the following:

i) Naive method.

ii) A 3-month moving average.

iii) A 6-month weighted average using .1, .1, .1, .2, .2, and .3, with the heaviest weights applied to the most recent months.

iv) Exponential smoothing using an $\alpha=.3$ and a September forecast of 18.

v) A trend projection.

The monthly sales for Yazici Batteries, Inc., were as follows:

Plot the monthly sales data. | December | 23 |

The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows:

Use a weighted 2-year moving average with weights of .4 and .6 to forecast next year's mileage. (The weight of $.6$ is for the most recent year.) What MAD results from using this approach to forecasting? (Hint: You will have only 3 years of matched data.)

The county hospital is located at the center of a square whose sides are 3 miles wide. If an accident occurs within this square, then the hospital sends out an ambulance. The road network is rectangular, so the travel distance from the hospital, whose coordinates are (0, 0), to the point (x, y) is |x|+|y|. If an accident occurs at a point that is uniformly distributed in the square, find the expected travel distance of the ambulance.

The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows:

Compute the forecast for year 6 using exponential smoothing, an initial forecast for year 1 of 3,000 miles, and $\alpha=.5$.