Question

Problem 8-10

Factor		Weight		East #1		East #2		West
Initial cost		8		130		120		140
Traffic		8		30		35		50
Maintenance		4		25		15		16
Dock space		4		22		24		13
Neighborhood		2		15		11		9

a. Using the above factor ratings, calculate the composite score for each location.

Location	Composite Score
East #1
East #2
West

b. Determine which location has the highest composite score:

• East #2

• West

• East #1

Problem 8-12

A toy manufacturer produces toys in five locations throughout the country. Raw materials (primarily barrels of powdered plastic) will be shipped from a new, centralized warehouse whose location is to be determined. The monthly quantities to be shipped to each location are the same. A coordinate system has been established, and the coordinates of each location have been determined as shown. Determine the coordinates of the centralized warehouse. (Round x¯x¯ and y¯y¯ to 1 decimal place.)

Location	(x,y)
A	2,7
B	7,4
C	6,6
D	4,1
E	6,5

x¯x¯  =  , y¯y¯ =  .

Problem 8-13

A clothing manufacturer produces women’s clothes at four locations in Mexico. Relative locations have been determined, as shown in the table below. The location of a central shipping point for bolts of cloth must now be determined. Weekly quantities to be shipped to each location are also shown in the table. Determine the coordinates of the location that will minimize distribution costs. (Round x¯¯x¯ and y¯y¯ to 1 decimal place.)

Location	(x,y)		Weekly Quantity
A	9,7		28
B	6,10		43
C	7,9		26
D	9,8		42

x¯x¯ =  , y¯y¯ =  .

Problem 10-3

The time to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:

Sample	Mean	Range	Sample	Mean	Range
1	3.06	.42	4	3.13	.46
2	3.15	.50	5	3.06	.46
3	3.11	.41	6	3.09	.45

Factors for three-sigma control limits for x¯x¯  and R charts

		FACTORS FOR R CHARTS
Number of Observations in Subgroup, n	Factor for x¯x¯ Chart, A2	Lower Control Limit, D3	Upper Control Limit, D4
2	1.88	0	3.27
3	1.02	0	2.57
4	0.73	0	2.28
5	0.58	0	2.11
6	0.48	0	2.00
7	0.42	0.08	1.92
8	0.37	0.14	1.86
9	0.34	0.18	1.82
10	0.31	0.22	1.78
11	0.29	0.26	1.74
12	0.27	0.28	1.72
13	0.25	0.31	1.69
14	0.24	0.33	1.67
15	0.22	0.35	1.65
16	0.21	0.36	1.64
17	0.20	0.38	1.62
18	0.19	0.39	1.61
19	0.19	0.40	1.60
20	0.18	0.41	1.59

  
a. Using the factors in the above table, determine upper and lower limits for mean and range charts. (Do not round intermediate calculations. Round your mean value to 3 decimal places and range value to 4 decimal places.)

Upper limit for mean
Lower limit for mean
Upper limit for range
Lower limit for range

b. Is the process in control?

• Yes

• No

Answer 1

Problem 8-10
Factor	Weight	East #1	East #2	West
Initial cost	8	130	120	140
Traffic	8	30	35	50
Maintenance	4	25	15	16
Dock space	4	22	24	13
Neighborhood	2	15	11	9
Compsite score= sum (Score*weight)		1498	1418	1654
a. Using the above factor ratings, calculate the composite score for each location.	Composit score
Location
East #1	1498
East #2	1418
West	1654
b. Determine which location has the highest composite score:
East #2
West	Ans
East #1