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Week 8 | Session 1: SC Network Optimization — Facility Selection & Break-Even Analysis

Course: Supply Chain Digitization — Module 3: Analytics in SCM



1. Module Context — Analytics in Supply Chain

Section titled “1. Module Context — Analytics in Supply Chain”
  • Data availability has increased → analytics now critical for SC decisions
  • This week focuses on Supply Chain Network Optimization
  • We explore the role of facilities in SC design and how these decisions affect customer demand fulfillment.

2. SC Network Design — Objective & Key Trade-offs

Section titled “2. SC Network Design — Objective & Key Trade-offs”

SC Network Optimization Overview

Objective: Minimize SC cost, improve service levels, fulfill customer demand optimally.

Efficient vs Responsive SC — Quick Recap

Section titled “Efficient vs Responsive SC — Quick Recap”
  • Efficient SC: Fewer facilities, larger in size.
  • Responsive SC: More facilities, smaller in size.

Key question: How many? And where? → This is the network optimization problem.


FactorDescription
DemandVolume, frequency, customer location — quantified from market data
SuppliersType, location, availability of suppliers for your product
Logistics InfrastructureExisting roads, ports, rail — affects viability of location
LabourAvailability & cost of workforce at that location
Regulations / Tax BenefitsGovernment incentives change over time — must be factored in

Facilities in SC can be: manufacturing plant, warehouse, distribution center, retailer, etc.


4. Three Major Decisions in SC Network Optimization

Section titled “4. Three Major Decisions in SC Network Optimization”
  1. Facility Selection Decision — Choose best from existing/available options.
  2. Facility Location Decision — Find exact location for a new facility given supply/demand constraints.
  3. Complete SC Network Design — Design entire network using an optimization approach.

Today’s focus: Facility Selection using Break-Even Analysis.


Definition: Identifies the level of activity at which a company is neither at profit nor at loss. The point where Sales Revenue = Total Cost is the Break-Even Point (BEP).

  1. Fixed Cost (FC): One-time, independent of volume (Machinery, buildings, R&D).
  2. Variable Cost (VC): Changes with volume of production (Raw material, packaging, direct labour).
  • Total Cost = Fixed Cost + (Variable Cost per unit × Quantity)
  • BEP = Fixed Cost ÷ (Revenue per unit – Variable Cost per unit)

6. Case Study — Luggage Bag Company: Warehouse Location Decision

Section titled “6. Case Study — Luggage Bag Company: Warehouse Location Decision”

Problem Statement:

  • Company is launching a new bag category based on customer demand.
  • Estimated demand = 1,45,000 units.
  • Goal: identify the most cost-effective warehouse location among 3 options.
LocationCityFixed Cost (₹)Variable Cost (₹/unit)
XNoida1,45,00011
YLucknow4,50,0007
ZChandigarh7,80,0006

7. Applying Break-Even Analysis — Step-by-Step

Section titled “7. Applying Break-Even Analysis — Step-by-Step”
  1. Enter Data: Input Fixed Cost & Variable Cost for each location in Excel.
  2. Assume Volume Range: Calculate Total Cost for Q = 50k to 300k.
  3. Calculate Total Cost: Total Cost = FC + (VC × Q) for all 3 locations.
  4. Plot the Graph: X-axis = Volume, Y-axis = Total Cost.
  5. Find Intersection Points: Identify where lines cross (break-even quantities).
  6. Read Decision: For 1,45,000 units, find which location line is lowest.

Break-Even Analysis Chart


  • At 1,45,000 units → Location Y (Lucknow) has the lowest total cost.
  • Decision: Warehouse at Lucknow (Y) is the most cost-effective choice.

  • SC Network Optimization: Strategic, long-term problem balancing cost, service level, demand fulfillment.
  • Facility Location Factors: Demand, suppliers, logistics infra, labour, regulations, geography.
  • Break-Even Analysis: Simple, widely-used method for facility selection from given alternatives.
  • BEP Formula: FC ÷ (Revenue/unit – VC/unit) = volume at zero profit/loss
  • Case Result: Location Y (Lucknow) optimal for 1,45,000 units — lowest total cost.