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MGT 403

Operations Management

TU BITM · Semester 7 · BITM curriculum and programme regulation

Requirement
required
Credits
3
Study Guide
9 units available

Chapter notes

Authoritative study guide across 9 syllabus units

Open a unit to read its study notes.

Unit 1: Introduction· 5 LHs· ~7 marks

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Part 1: Core Concepts (2 Marks)

Definition of Operations Management

According to William J. Stevenson, “Operations management is the management of systems or processes that create goods and/or provide services.”

According to Lee J. Krajewski, “Operations management refers to the systematic design, direction, and control of processes that transform inputs into services and products for internal, as well as external, customers.”

Mathematical Productivity Formulation

Productivity is a measure of the effective use of resources, expressed as the ratio of output produced to inputs consumed:

Productivity=OutputInput\text{Productivity} = \frac{\text{Output}}{\text{Input}}

  • Single-Factor Productivity: OutputSingle Input (Labour, Machine, or Capital)\frac{\text{Output}}{\text{Single Input (Labour, Machine, or Capital)}}.
  • Multi-Factor Productivity: Total Output ValueLabour Cost+Material Cost+Overhead Cost\frac{\text{Total Output Value}}{\text{Labour Cost} + \text{Material Cost} + \text{Overhead Cost}}.

Part 2: Structural Frameworks (10 Marks)

1. The Operations Transformation System

Law of Variable Proportions (Total, Marginal & Average Product Dynamics)

MP=AP  ⟹  APmax⁡,MP=0  ⟹  TPmax⁡,MP<0  ⟹  Stage IIIMP = AP \implies AP_{\max}, \quad MP = 0 \implies TP_{\max}, \quad MP < 0 \implies \text{Stage III}
Economic State / Output Region Curve Trajectory & Relationships Analytical & Decision Rule
Stage I (Increasing Returns) MP rises to peak, then declines but remains MP > AP Sub-optimal; fixed factor underutilized
Stage II (Diminishing Returns) MP falls continuously from AP=MP to MP=0 RATIONAL OPERATING ZONE; optimal input allocation
Stage III (Negative Returns) MP becomes negative; TP actively declines Irrational; variable inputs overcrowd capacity

Part 3: Distinction Tables

Comparison: Manufacturing Operations vs. Service Operations

Basis of Comparison Manufacturing Operations (Goods) Service Operations (Services)
Output Nature Tangible, physical, and durable product. Intangible, perishable experience or performance.
Customer Contact Low direct contact with end-consumers during production. High customer contact; consumer is part of the process.
Uniformity of Input Highly standardized inputs and automated assemblies. High input variability; custom customer requests.
Inventory Storage Can be manufactured in advance and stored in warehouses. Cannot be inventoried; unused capacity is lost forever.
Quality Measurement Objective, physical tolerances (micrometer, weight). Subjective, perceptual, and psychological evaluations.

Part 4: Worked Problems & Exam Traps

Numerical Archetype: Multi-Factor Productivity Growth

Problem: Hetauda Manufacturing Co. produced 2,000 units of plastic chairs sold at NPR 500 per unit. Production inputs:

  • Direct Labour: 400 hours @ NPR 150 per hour
  • Raw Materials: 1,000 kg @ NPR 120 per kg
  • Factory Overhead: NPR 80,000

After installing automated injection molding machines, output increased to 2,600 units with inputs:

  • Direct Labour: 300 hours @ NPR 150 per hour
  • Raw Materials: 1,200 kg @ NPR 120 per kg
  • Factory Overhead: NPR 110,000

Required: Compute the percentage change in Multi-Factor Productivity.

Solution: Step 1: Baseline Multi-Factor Productivity (MFP1MFP_1)

  • Output Value =2,000×500=NPR 1,000,000= 2,000 \times 500 = \text{NPR } 1,000,000
  • Total Inputs =(400×150)+(1,000×120)+80,000=60,000+120,000+80,000=NPR 260,000= (400 \times 150) + (1,000 \times 120) + 80,000 = 60,000 + 120,000 + 80,000 = \text{NPR } 260,000
    MFP1=1,000,000260,000=3.8462MFP_1 = \frac{1,000,000}{260,000} = \mathbf{3.8462}

Step 2: Improved Multi-Factor Productivity (MFP2MFP_2)

  • Output Value =2,600×500=NPR 1,300,000= 2,600 \times 500 = \text{NPR } 1,300,000
  • Total Inputs =(300×150)+(1,200×120)+110,000=45,000+144,000+110,000=NPR 299,000= (300 \times 150) + (1,200 \times 120) + 110,000 = 45,000 + 144,000 + 110,000 = \text{NPR } 299,000
    MFP2=1,300,000299,000=4.3478MFP_2 = \frac{1,300,000}{299,000} = \mathbf{4.3478}

Step 3: Percentage Growth in Productivity

%ΔMFP=4.3478−3.84623.8462×100=0.50163.8462×100=+13.04%\% \Delta MFP = \frac{4.3478 - 3.8462}{3.8462} \times 100 = \frac{0.5016}{3.8462} \times 100 = \mathbf{+13.04\%}

Common Board Exam Trap: In Multi-Factor Productivity, all inputs must be converted into common monetary terms (NPR)! You cannot add labour hours (400 hrs) directly to material kilograms (1,000 kg); both must be multiplied by their unit costs before summing.