1. Weekly sales of copy paper at Cubicle Suppliers are in the table below. Compute a three-period moving average and a four-period moving average for weeks 5, 6, and 7. Compute MAD for each forecast. Which model is more accurate? Forecast week 8 with the more accurate method.

Week Sales (cases)1 172 213 274 315 196 177 21

2. Jim's department at a local department store has tracked the sales of a product over the last ten weeks. Forecast demand using exponential smoothing with an alpha of 0.4, and an initial forecast of 28.0. Calculate MAD and the tracking signal. What do you recommend?

Period Demand1 242 233 264 365 266 307 328 269 2510 28

3. Favors Distribution Company purchases small imported trinkets in bulk, packages them, and sells them to retail stores. They are conducting an inventory control study of all their items. The following data are for one such item, which is not seasonal.

a. Use trend projection to estimate the relationship between time and sales (state the equation).b. Calculate forecasts for the first four months of the next year.

1 2 3 4 5 6 7 8 9 10 11 12Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov DecSales 51 55 54 57 50 68 66 59 67 69 75 73

4. The quarterly sales for specific educational software over the past three years are given in the following table. Compute the four seasonality factors and forecast for year 4

YEAR 1 YEAR 2 YEAR 3Quarter 1 1710 1820 1830Quarter 2 960 910 1090Quarter 3 2720 2840 2900Quarter 4 2430 2200 2590

5. A contractor for the military is looking for a new location for a supply depot. The depot will supply four bases whose tonnage (demand) and map coordinates are shown below. If management wants the depot to have a central location, what should be its map coordinates?

Bases (X,Y) Coordinates TonnageFort Able (40,110) 30,000Base Baker (70,50) 60,000Camp Charlie (90,20) 35,000Camp Delta (70,80) 75,000

6. A manufacturing company preparing to build a new plant is considering three potential locations for it. The fixed and variable costs for the three alternative locations are presented below.

a. Complete a numeric locational cost-volume analysis.b. Indicate over what range each of the alternatives A, B, C is the low-cost choice.c. Is any alternative never preferred? Explain.

Costs A B CFixed ($) 2,500,000 2,000,000 3,500,000Variable ($ per unit) 21 25 15

7. An electronics manufacturer makes remote control devices for interactive-cable-TV systems. The following assembly tasks must be performed on each device.

Task Description Predecessor(s) Time (min.)A Place circuit into circuit frame -- 0.50B Solder circuit connections to central circuit control A 0.70C Place circuit assembly in device frame B 0.40D Attach circuit assembly to device frame C 0.30E Place and attach display to frame -- 0.30F Place and attach keypad to frame -- 0.20G Place and attach top body of device to frame E, F 0.35H Place and attach battery holder to frame D 0.40I Place and attach bottom body of device to frame G, H 0.60J Test device I 0.30

a. Draw the precedence diagram for this problem.b. What is the sum of the task times?c. What cycle time will allow the production of 200 units over a ten-hour day?d. What is the theoretical number of workstations needed?e. Balance this assembly line using the heuristic most following tasks and the heuristic longest

operation time.f. How do these two solutions differ? Which do you prefer; why?

8. Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row, in that order, with 20 meters between each. The departmental work flows are contained in the table below.

a. What is the material handling total of assigning A-1, B-2, C-3, D-4?b. What is the material handling total of assigning A-1, B-3, C-4, D-2?

Flow MatrixDept. A Dept. B Dept. C Dept. D

Dept. A 0 30 5 20Dept. B 5 0 40 20Dept. C 0 10 0 40Dept. D 10 5 0 0