Operations Management
Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 11, Problem 7PA

a)

Summary Introduction

To determine: The per unit holding cost of a laptop with Country U production.

a)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Safety factory (SF)                     = 2.25

Holding cost per laptop per week in Country U (H)     = $4

Holding cost per laptop per week in Country T (H)     = $3.50

Lead time in Country U (L)                 = 1 week

Lead time in Country T (L)                 = 8 weeks

Shipping cost (C)                     = $2

Weekly demand (D)                     = 1,000 laptops

Standard deviation (S)                 = 800

Calculation of on-order inventory:

On-order inventory=L×D=1×1,000=1,000 units

Calculation of on-hand inventory:

On-hand inventory=((L+1))×(S×SF)=((1+1))×(800×2.25)=1.414×1,800=2,545.2=2,546 units

Calculation of total average inventory:

Total average inventory=On-order inventory+On-hand inventory=1,000+2,546=3,546 units

Calculation of average weekly holding cost:

Average weekly holding cost=H×Total average inventory=4×3,546=$14,184

Calculation of average holding cost per unit:

Average holding cost per unit=Average weekly holding costD=$14,1841,000=$14.184

The per unit holding cost of a laptop with Country U production is $14.184.

b)

Summary Introduction

To determine: The per unit holding cost of a laptop with Country T production.

b)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Safety factory (SF)                     = 2.25

Holding cost per laptop per week in Country U (H)     = $4

Holding cost per laptop per week in Country T (H)     = $3.50

Lead time in Country U (L)                 = 1 week

Lead time in Country T (L)                 = 8 weeks

Shipping cost (C)                     = $2

Weekly demand (D)                     = 1,000 laptops

Standard deviation (S)                 = 800

Calculation of on-order inventory:

On-order inventory=L×D=8×1,000=8,000 units

Calculation of on-hand inventory:

On-hand inventory=((L+1))×(S×SF)=((8+1))×(800×2.25)=3×1,800=5,400 units

Calculation of total average inventory:

Total average inventory=On-order inventory+On-hand inventory=8,000+5,400=13,400 units

Calculation of average weekly holding cost:

Average weekly holding cost=H×Total average inventory=3.50×13,400=$46,900

Calculation of average holding cost per unit:

Average holding cost per unit=Average weekly holding costD=$46,9001,000=$46.90

The per unit holding cost of a laptop with Country T production is $46.90.

c)

Summary Introduction

To determine: The change in cost per laptop if the production switched to Country T.

c)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Safety factory (SF)                     = 2.25

Holding cost per laptop per week in Country U (H)     = $4

Holding cost per laptop per week in Country T (H)     = $3.50

Lead time in Country U (L)                 = 1 week

Lead time in Country T (L)                 = 8 weeks

Shipping cost (C)                     = $2

Weekly demand (D)                     = 1,000 laptops

Standard deviation (S)                 = 800

Assembly time (T)                     = 40 minutes

Cost of labor in Country U (W)             = $40 per hour

Cost of labor in Country T (W)             = $10 per hour

When production is in Country U:

Calculation of labor cost per unit:

Labor cost=W×TMinutes per hour=40×4060=$26.67

There is no transportation cost. The average holding cost per unit is $14.184.

Calculation of total cost:

Total cost=$26.67+$14.184=$40.854

When production is in Country T:

Calculation of labor cost per unit:

Labor cost=W×TMinutes per hour=10×4060=$6.67

The shipping cost is $2. The average holding cost per unit is $46.90

Calculation of total cost:

Total cost=$6.67+$2+$46.90=$55.57

Cost difference when the production moves from Country U to Country T:

Cost difference=55.57-40.854=$14.72

The cost increases by $14.72.

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