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Practice Problems: Chapter 14, Material Requirements Planning
(MRP) and ERP
Problem 1:
The Hunicut and Hallock Corporation makes two versions of the same basic file cabinet,
the TOL (Top-of-the-line) five drawer file cabinet and the HQ (High-quality) five drawer
filing cabinet.
The TOL and HQ use the same cabinet frame and locking mechanism. The drawer
assemblies are different although both use the same drawer frame assembly. The drawer
assemblies for the TOL cabinet use a sliding assembly that requires four bearings per side
whereas the HQ sliding assembly requires only two bearings per side. (These bearings are
identical for both cabinet types.) 100 TOL and 300 HQ file cabinets need to be assembled
in week #10. No current stock exists.
Develop a material structure tree for the TOL and the HQ file cabinets.
Problem 2:
Develop a gross material requirements plan for the TOL and HQ cabinets in the previous
example.
Problem 3:
Develop a net material requirements plan for the TOL and HQ file cabinets in the
previous problems assuming a current on-hand finished goods inventory of 100 TOL
cabinets. The lead times are given below.
Painting and final assembly of both HQ and TOL requires 2 weeks.
Both cabinet frames and lock assembly require 1 week for manufacturing.
Both drawer assemblies require 2 weeks for assembly.
Both sliding assemblies require 2 weeks for manufacturing.
Bearings require 2 week to arrive from the supplier.

1
Problem 4:
If the TOL file cabinet has a gross material requirements plan as shown below, no
inventory, and 2 weeks lead time is required for assembly, what are the order release
dates and lot sizes when lot sizing is determined using lot-for-lot? Use a holding cost of
$2.00 and a setup cost of $20.00, and assume no initial inventory.

Gross Material Requirements Plan
Week

1

2

3

TOL

4

50

5

6

100

7

8

9

50

10
100

Problem 5:
If the TOL file cabinet has a gross material requirements plan as shown below, no
inventory, and 2 weeks of lead time is required for assembly, what are the order release
dates and lot sizes when lot sizing is determined by EOQ (Economic Order Quantity)?
Use a holding cost of $2.00 and a setup cost of $20.00, and assume no initial inventory.

Gross Material Requirements Plan
Week
TOL

1

2

3
50

4

5
100

2

6

7
50

8

9

10
100
Problem 6:
If the TOL file cabinet has a gross materials requirements plan as shown below, no
inventory, and 2 weeks of lead time is required for assembly, what are the order release
dates and lot size when lot sizing is determined using PPB (part period balancing)? Use a
holding cost of $2.00 and a setup cost of $20,000, and no initial inventory.

Gross Material Requirements Plan
Week
TOL

1

2

3
50

4

5
100

3

6

7
50

8

9

10
100
ANSWERS
Problem 1:

Problem 2:

Gross Requirements Plan
Week

1

2

3

4

5

6

7

8

9

10

TOL

100

HQ

300

4
Problem 3:

Week
1

4

5

6

7

8

Required date

9

Lead
Time
2 weeks

300

3

10
100

2

2 weeks

TOL
Order release date
Required date
HQ
Order release date
Cabinet
frame and
lock
HQ drawer
assembly
Drawer
frame
assembly
HQ sliding
assembly

300

Required date

300

1 week

1500

2 weeks

Order release date

300

Required date
Order release date

1500

Required date

1500

2 weeks

1500

2 weeks

Order release date

1500

Required date
Order release date

1500

Required date

6000

Bearings
Order release date

6000

Receipts:
300 cabinet frames and locks in week 8
1500 HQ drawer assemblies in week 8
1500 drawer frame assemblies in week 6
1500 HQ sliding assemblies in week 6
6000 bearings in week 4

5

2 weeks
Problem 4:

Gross Material Requirements Plan
Week

1

2

TOL
Release dates
and lot sizes

3

4

5

50

100

100

50

6

7

50

8

9

50

10
100

100

Holding cost = $0
Setup cost = 4 * $20 = $80
Total cost = $80
Problem 5:
Solution using POM for Windows:
Gross Material Requirements Plan
Week

1

TOL
Release dates
and lot sizes

2

3

4

5

50
72

100

96

48

Holding cost = $280
Setup cost = 4 * $20 = $80
Total cost = $360

6

6

7

8

50

9

10
100

96
Problem 6:
Solution using POM for Windows:
Gross Material Requirements Plan
Week

1

TOL
Release dates
and lot sizes

2

3

4

5

50
50

100

100

50

Holding cost = $0
Setup cost = 4 * $20 = $80
Total cost = $80

7

6

7

8

50

9

10
100

100

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heizer jay operations management Ch14pp

  • 1. Practice Problems: Chapter 14, Material Requirements Planning (MRP) and ERP Problem 1: The Hunicut and Hallock Corporation makes two versions of the same basic file cabinet, the TOL (Top-of-the-line) five drawer file cabinet and the HQ (High-quality) five drawer filing cabinet. The TOL and HQ use the same cabinet frame and locking mechanism. The drawer assemblies are different although both use the same drawer frame assembly. The drawer assemblies for the TOL cabinet use a sliding assembly that requires four bearings per side whereas the HQ sliding assembly requires only two bearings per side. (These bearings are identical for both cabinet types.) 100 TOL and 300 HQ file cabinets need to be assembled in week #10. No current stock exists. Develop a material structure tree for the TOL and the HQ file cabinets. Problem 2: Develop a gross material requirements plan for the TOL and HQ cabinets in the previous example. Problem 3: Develop a net material requirements plan for the TOL and HQ file cabinets in the previous problems assuming a current on-hand finished goods inventory of 100 TOL cabinets. The lead times are given below. Painting and final assembly of both HQ and TOL requires 2 weeks. Both cabinet frames and lock assembly require 1 week for manufacturing. Both drawer assemblies require 2 weeks for assembly. Both sliding assemblies require 2 weeks for manufacturing. Bearings require 2 week to arrive from the supplier. 1
  • 2. Problem 4: If the TOL file cabinet has a gross material requirements plan as shown below, no inventory, and 2 weeks lead time is required for assembly, what are the order release dates and lot sizes when lot sizing is determined using lot-for-lot? Use a holding cost of $2.00 and a setup cost of $20.00, and assume no initial inventory. Gross Material Requirements Plan Week 1 2 3 TOL 4 50 5 6 100 7 8 9 50 10 100 Problem 5: If the TOL file cabinet has a gross material requirements plan as shown below, no inventory, and 2 weeks of lead time is required for assembly, what are the order release dates and lot sizes when lot sizing is determined by EOQ (Economic Order Quantity)? Use a holding cost of $2.00 and a setup cost of $20.00, and assume no initial inventory. Gross Material Requirements Plan Week TOL 1 2 3 50 4 5 100 2 6 7 50 8 9 10 100
  • 3. Problem 6: If the TOL file cabinet has a gross materials requirements plan as shown below, no inventory, and 2 weeks of lead time is required for assembly, what are the order release dates and lot size when lot sizing is determined using PPB (part period balancing)? Use a holding cost of $2.00 and a setup cost of $20,000, and no initial inventory. Gross Material Requirements Plan Week TOL 1 2 3 50 4 5 100 3 6 7 50 8 9 10 100
  • 4. ANSWERS Problem 1: Problem 2: Gross Requirements Plan Week 1 2 3 4 5 6 7 8 9 10 TOL 100 HQ 300 4
  • 5. Problem 3: Week 1 4 5 6 7 8 Required date 9 Lead Time 2 weeks 300 3 10 100 2 2 weeks TOL Order release date Required date HQ Order release date Cabinet frame and lock HQ drawer assembly Drawer frame assembly HQ sliding assembly 300 Required date 300 1 week 1500 2 weeks Order release date 300 Required date Order release date 1500 Required date 1500 2 weeks 1500 2 weeks Order release date 1500 Required date Order release date 1500 Required date 6000 Bearings Order release date 6000 Receipts: 300 cabinet frames and locks in week 8 1500 HQ drawer assemblies in week 8 1500 drawer frame assemblies in week 6 1500 HQ sliding assemblies in week 6 6000 bearings in week 4 5 2 weeks
  • 6. Problem 4: Gross Material Requirements Plan Week 1 2 TOL Release dates and lot sizes 3 4 5 50 100 100 50 6 7 50 8 9 50 10 100 100 Holding cost = $0 Setup cost = 4 * $20 = $80 Total cost = $80 Problem 5: Solution using POM for Windows: Gross Material Requirements Plan Week 1 TOL Release dates and lot sizes 2 3 4 5 50 72 100 96 48 Holding cost = $280 Setup cost = 4 * $20 = $80 Total cost = $360 6 6 7 8 50 9 10 100 96
  • 7. Problem 6: Solution using POM for Windows: Gross Material Requirements Plan Week 1 TOL Release dates and lot sizes 2 3 4 5 50 50 100 100 50 Holding cost = $0 Setup cost = 4 * $20 = $80 Total cost = $80 7 6 7 8 50 9 10 100 100