“Chapter 3 and Chapter 13 Homework
Problem 03-02.
The
Road King Tire Company in Birmingham wants to monitor the quality of the tires
it manufactures. Each day the company quality-control manager takes a sample of
100 tires, tests them, and determines the number of defective tires. The
results of 20 samples have been recorded as follows:
Sample
Number of Defectives
Sample
Number of Defectives
1
14
11
18
2
12
12
10
3
9
13
19
4
10
14
20
5
11
15
17
6
7
16
18
7
8
17
18
8
14
18
22
9
16
19
24
10
17
20
23
Construct
a .0/msohtmlclip1/01/clip_image001.png”” alt=””Description: @uni:href””>-chart
for this process using .0/msohtmlclip1/01/clip_image002.png”” alt=””Description: @uni:href””>limits
and describe the variation in the process.
Problem 03-06.
One
of the stages in the process of making denim cloth at the Southern Mills
Company is to spin cotton yarn onto spindles for subsequent use in the weaving
process. Occasionally the yarn breaks during the spinning process, and an
operator ties it back together. Some number of breaks is considered normal;
however, too many breaks might mean that the yarn is of poor quality. In order
to monitor this process, the quality-control manager randomly selects a
spinning machine each hour and checks the number of breaks during a 15-minute
period. Following is a summary of the observations for the past 20 hours:
Sample
Number of Breaks
Sample
Number of Breaks
1
3
11
3
2
2
12
4
3
4
13
6
4
1
14
7
5
5
15
8
6
3
16
6
7
2
17
5
8
4
18
7
9
0
19
8
10
2
20
6
Construct
a .0/msohtmlclip1/01/clip_image003.png”” alt=””Description: @uni:href””>-chart
using .0/msohtmlclip1/01/clip_image004.png”” alt=””Description: @uni:href””>limits
for this process and indicate if the process was out of control at any time.
Problem 13-06.
The
Ambrosia Bakery makes cakes for freezing and subsequent sale. The bakery, which
operates five days a week, 52 weeks a year, can produce cakes at the rate of
116 cakes per day. The bakery sets up the cake-production operation and
produces until a predetermined number has
been produced. When not producing cakes, the bakery uses its personnel and
facilities for producing other bakery items. The setup cost for a production
run of cakes is $700. The cost of holding frozen cakes in storage is $9 per
cake per year. The annual demand for frozen cakes, which is constant over time,
is 6000 cakes. Determine the following:
a. Optimal
production run quantity (Q)
b. Total
annual inventory costs
c. Optimal
number of production runs per year
d. Optimal
cycle time (time between run starts)
e. Run
length in working days.
Problem 13-20.
Southwood
Furniture Company is a U.S.-based furniture manufacturer that offshored all of
its actual manufacturing operations to China about a decade ago. It set up a
distribution center in Hong Kong from which the company ships its items to the
United States on container ships. The company learned early on that it could
not rely on local Chinese freight forwarders to arrange for sufficient
containers for the company’s shipments, so it contracted to purchase containers
from a Taiwanese manufacturer and then sell them to shipping companies at the
U.S. ports the containers are shipped to. Southwood needs 715 containers each
year. It costs $1200 to hold a container at its distribution center, and it
costs $6000 to receive an order for the containers. Determine the optimal order
size, minimum total annual inventory cost, number of annual orders, and time
between orders.
Chapter 3 and Chapter 13 HomeworkProblem 03-02. The
Road King Tire Company in Birmingham wants to monitor the quality of the tires
it manufactures. Each day the company quality-control manager takes a sample of
100 tires, tests them, and determines the number of defective tires. The
results of 20 samples have been recorded as follows: SampleNumber of DefectivesSampleNumber of Defectives11411182121210391319410142051115176716187817188141822916192410172023Construct
a .0/msohtmlclip1/01/clip_image001.png”” alt=””Description: @uni:href””>-chart
for this process using .0/msohtmlclip1/01/clip_image002.png”” alt=””Description: @uni:href””>limits
and describe the variation in the process.Problem 03-06.One
of the stages in the process of making denim cloth at the Southern Mills
Company is to spin cotton yarn onto spindles for subsequent use in the weaving
process. Occasionally the yarn breaks during the spinning process, and an
operator ties it back together. Some number of breaks is considered normal;
however, too many breaks might mean that the yarn is of poor quality. In order
to monitor this process, the quality-control manager randomly selects a
spinning machine each hour and checks the number of breaks during a 15-minute
period. Following is a summary of the observations for the past 20 hours: SampleNumber of BreaksSampleNumber of Breaks131132212434136411475515863166721758418790198102206Construct
a .0/msohtmlclip1/01/clip_image003.png”” alt=””Description: @uni:href””>-chart
using .0/msohtmlclip1/01/clip_image004.png”” alt=””Description: @uni:href””>limits
for this process and indicate if the process was out of control at any time.Problem 13-06.The
Ambrosia Bakery makes cakes for freezing and subsequent sale. The bakery, which
operates five days a week, 52 weeks a year, can produce cakes at the rate of
116 cakes per day. The bakery sets up the cake-production operation and
produces until a predetermined number has
been produced. When not producing cakes, the bakery uses its personnel and
facilities for producing other bakery items. The setup cost for a production
run of cakes is $700. The cost of holding frozen cakes in storage is $9 per
cake per year. The annual demand for frozen cakes, which is constant over time,
is 6000 cakes. Determine the following:a. Optimal
production run quantity (Q)b. Total
annual inventory costsc. Optimal
number of production runs per yeard. Optimal
cycle time (time between run starts)e. Run
length in working days.Problem 13-20.Southwood
Furniture Company is a U.S.-based furniture manufacturer that offshored all of
its actual manufacturing operations to China about a decade ago. It set up a
distribution center in Hong Kong from which the company ships its items to the
United States on container ships. The company learned early on that it could
not rely on local Chinese freight forwarders to arrange for sufficient
containers for the company’s shipments, so it contracted to purchase containers
from a Taiwanese manufacturer and then sell them to shipping companies at the
U.S. ports the containers are shipped to. Southwood needs 715 containers each
year. It costs $1200 to hold a container at its distribution center, and it
costs $6000 to receive an order for the containers. Determine the optimal order
size, minimum total annual inventory cost, number of annual orders, and time
between orders.”
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