Optimization and Scheduling for Production and Inventory Management: A Case Study in Transportation and Master Production Scheduling

Case study on optimizing production and inventory management in transportation.

David Miller
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Problem 11-14
Given the following information set up the problem in a transportation table and solve for the minimum-cost
plan: (Omit the "$" sign in your response.)
Regular time $ 60 per unit
Overtime $ 80 per unit
Subcontract $ 90 per unit
Inventory carrying cost $ 1 per unit per month
Back-order cost $ 3 per unit per month
Minimum total cost $ 124,730
Explanation:
Optimization and Scheduling for Production and Inventory Management: A Case Study in Transportation and Master
Production Scheduling
Name:
Professor:
University attached:
Problem 11-14
Given the following information set up the problem in a transportation table and solve for the minimum-cost
plan: (Omit the "$" sign in your response.)
PERIOD
1 2 3
Demand 550 700 750
Capacity
Regular 500 500 500
Overtime 50 50 50
Subcontract 120 120 100
Beginning inventory 100
Costs
Regular time $ 60 per unit
Overtime $ 80 per unit
Subcontract $ 90 per unit
Inventory carrying cost $ 1 per unit per month
Back-order cost $ 3 per unit per month
Minimum total cost $ 125,344
Answer: Instructor explanationAnswer
PERIOD
1 2 3
Demand 550 700 750
Capacity
Regular 500 500 500
Overtime 50 50 50
Subcontract 120 120 100
Beginning inventory 100
Costs
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