Academic Year 2026–2027 UNISA Assignment: MNO3701
Operations Management Fully Solved Assignment with Verified
Answers | Advanced Operations Strategy, Process Optimization,
Capacity Management, Supply Chain Operations, Productivity
Analysis and Operational Decision-Making
Question 1: In a complex manufacturing environment utilizing cellular
manufacturing, which factor is MOST critical when determining the optimal
number of machines per cell to minimize material handling costs while maintaining
flexibility?
A. The historical utilization rate of each machine type across all product families
B. The precedence relationships and cycle time balance of operations within the
product family
C. The total capital budget allocated for equipment acquisition in the current fiscal year
D. The average setup time reduction achievable through SMED techniques on
bottleneck machines
CORRECT ANSWER: B. The precedence relationships and cycle time balance of
operations within the product family
Rationale: Cellular manufacturing aims to group machines and operations to efficiently
produce a family of parts. The primary design consideration is balancing the workflow
within the cell to minimize idle time, work-in-process inventory, and material
movement. Precedence relationships dictate the sequence of operations, and cycle
time balancing ensures that no single machine becomes a persistent bottleneck, which
directly impacts material handling frequency and cell flexibility. While utilization,
budget, and setup times are relevant, they are secondary to the fundamental workflow
design that governs cell efficiency and responsiveness.
Question 2: When applying the Theory of Constraints (TOC) to a multi-stage service
process with variable arrival rates, which metric provides the MOST actionable
insight for identifying the system's current constraint?
A. The average service time per customer at each stage
B. The utilization percentage of each resource pool
C. The cumulative flow diagram showing work item age and throughput
D. The standard deviation of inter-arrival times at the process entry point
CORRECT ANSWER: C. The cumulative flow diagram showing work item age and
throughput
Rationale: In dynamic service environments with variable demand, static metrics like
average service time or utilization can be misleading due to queuing effects and
transient bottlenecks. A cumulative flow diagram (CFD) visualizes the number of work
items in each state over time, directly revealing where work accumulates (indicating a
constraint) and how throughput evolves. It integrates arrival variability, processing
times, and queue behavior, providing a holistic, time-based view essential for TOC's
,focus on managing flow. Utilization (B) can be high at non-constraints due to starvation,
while arrival variability (D) is an input characteristic, not a system performance
measure.
Question 3: A firm is evaluating a transition from a push-based MRP system to a
pull-based Kanban system for component replenishment. Which condition would
MOST strongly justify maintaining a hybrid approach rather than a full conversion?
A. The component has highly predictable demand with low coefficient of variation
B. The supplier lead time is significantly longer than the production cycle time for the
final assembly
C. The component is used in a wide variety of end products with highly correlated
demand patterns
D. The cost of holding inventory for the component is negligible compared to stockout
costs
CORRECT ANSWER: B. The supplier lead time is significantly longer than the
production cycle time for the final assembly
Rationale: Kanban systems excel when replenishment lead times are short relative to
consumption rates, allowing small lot sizes and rapid response. If supplier lead time
exceeds the final assembly cycle time, a pure pull system risks frequent stockouts
because the signal to replenish cannot be acted upon quickly enough. A hybrid
approach, using MRP for long-lead-time, planned procurement and Kanban for internal,
short-lead-time movement, balances responsiveness with feasibility. Predictable
demand (A) favors pure pull, correlated demand (C) can be managed with pull if lead
times allow, and low holding cost (D) might favor push, but the lead time mismatch is
the most fundamental operational constraint.
Question 4: In designing a quality function deployment (QFD) matrix for a new
software product, which customer requirement would be LEAST appropriately
translated into a measurable technical descriptor in the "How" section?
A. "The application should launch in under two seconds on a standard mobile device"
B. "Users should feel confident that their personal data is secure"
C. "The interface must be intuitive enough for first-time users to complete core tasks
without training"
D. "The system must process at least 1000 transactions per minute during peak load"
CORRECT ANSWER: C. "The interface must be intuitive enough for first-time users
to complete core tasks without training"
Rationale: QFD requires translating subjective customer "whats" into objective,
measurable technical "hows". Options A, B, and D can be directly quantified: launch
time (seconds), security metrics (encryption standards, penetration test results), and
throughput (transactions/minute). "Intuitiveness" (C) is a complex, subjective
perception influenced by numerous design elements (layout, terminology, feedback).
While it can be assessed via usability testing (e.g., task completion rate, time-on-task),
,it is not a single, directly measurable technical descriptor like the others; it requires
decomposition into multiple, lower-level technical requirements, making it the least
directly translatable in the initial QFD mapping.
Question 5: When conducting a risk assessment for a global supply chain, which
methodology is BEST suited for quantifying the potential financial impact of a low-
probability, high-severity disruption event, such as a geopolitical conflict blocking
a key shipping lane?
A. Failure Mode and Effects Analysis (FMEA) with Risk Priority Numbers
B. Monte Carlo simulation incorporating probability distributions for disruption duration
and cost variables
C. A simple checklist of potential risks rated on a 1-5 scale for likelihood and impact
D. Historical analysis of past disruption events and their recorded financial losses
CORRECT ANSWER: B. Monte Carlo simulation incorporating probability
distributions for disruption duration and cost variables
Rationale: Low-probability, high-severity events are characterized by deep uncertainty
and non-linear impacts. Monte Carlo simulation is ideal because it models the complex
interdependencies and variabilities (e.g., duration of blockage, alternative routing costs,
inventory buffer depletion) by running thousands of scenarios with input variables
defined by probability distributions. This generates a probability distribution of potential
financial outcomes, enabling calculation of metrics like Value at Risk (VaR) or expected
shortfall. FMEA (A) and checklists (C) are qualitative or semi-quantitative and struggle
with complex, systemic risks. Historical analysis (D) is often insufficient for
unprecedented or rare events.
Question 6: For a service operation with a single server and Poisson arrivals, if the
manager aims to reduce the average customer waiting time in the queue (Wq) by
50%, which action would be MOST effective, assuming the service rate (μ) can be
adjusted?
A. Increase the service rate (μ) by 25%
B. Decrease the arrival rate (λ) by 20% through appointment scheduling
C. Increase the service rate (μ) by 100% (i.e., double it)
D. Decrease the arrival rate (λ) by 50% through demand management
CORRECT ANSWER: C. Increase the service rate (μ) by 100% (i.e., double it)
Rationale: For an M/M/1 queue, Wq = λ / [μ(μ - λ)]. The relationship is non-linear.
Doubling μ (C) has a dramatic effect: if originally ρ = λ/μ = 0.8, Wq = λ/[μ(0.2μ)] = 5λ/μ².
After doubling μ to 2μ, ρ' = λ/(2μ) = 0.4, and Wq' = λ/[2μ(2μ - λ)] = λ/[2μ(1.2μ)] ≈ λ/(2.4μ²),
which is roughly a 92% reduction, far exceeding 50%. A 25% increase in μ (A) yields a
smaller reduction. Reducing λ (B, D) also helps, but due to the formula's structure,
increasing μ is generally more potent for reducing Wq, especially at high utilization. The
exact calculation confirms that doubling μ is the most effective single action among the
options.
, Question 7: In a lean implementation, which of the following is a PRIMARY purpose
of establishing a heijunka (production leveling) box at the pacemaker process?
A. To visually signal when a kanban card is needed for material replenishment
B. To sequence production orders in a way that minimizes changeover times through
grouping similar items
C. To smooth the volume and mix of production over a fixed time period to absorb
demand variability
D. To calculate the takt time based on customer demand and available production time
CORRECT ANSWER: C. To smooth the volume and mix of production over a fixed
time period to absorb demand variability
Rationale: Heijunka is a core lean tool for production leveling. Its primary purpose is to
decouple production from erratic customer demand by creating a predictable, leveled
schedule at the pacemaker process. This smoothing of both volume (total units) and
mix (product variants) over a period (e.g., a day or week) reduces muda (waste)
associated with overproduction, waiting, and uneven workloads (mura), and makes the
system more responsive and stable. While changeover reduction (B) is a related goal
often achieved via SMED, it is not the primary purpose of the heijunka box itself. Visual
signaling (A) is the role of kanban, and takt time calculation (D) is a separate planning
step.
Question 8: When selecting a location for a new distribution center using the
factor-rating method, which factor should be assigned the HIGHEST weight if the
company's primary strategic objective is to achieve same-day delivery for 95% of
customers in a major metropolitan area?
A. Proximity to major highway interchanges and airports
B. Cost per square foot of warehouse space
C. Local labor availability and wage rates
D. Tax incentives offered by the municipal government
CORRECT ANSWER: A. Proximity to major highway interchanges and airports
Rationale: The factor-rating method weights criteria based on strategic importance. For
a same-day delivery objective in a metro area, transportation access and proximity to
the customer base are paramount. Being near major highways and airports minimizes
line-haul and last-mile transit times, which is the critical enabler for same-day service.
While cost (B), labor (C), and taxes (D) are important operational and financial factors,
they are secondary to the fundamental requirement of physical accessibility and speed-
to-customer when the strategic goal is time-based competition. A location with low
cost but poor access would fail the core objective.
Question 9: In project management using the Critical Path Method (CPM), if an
activity on the critical path has its duration reduced by crashing, what is the
IMMEDIATE and CERTAIN effect on the project network?
Operations Management Fully Solved Assignment with Verified
Answers | Advanced Operations Strategy, Process Optimization,
Capacity Management, Supply Chain Operations, Productivity
Analysis and Operational Decision-Making
Question 1: In a complex manufacturing environment utilizing cellular
manufacturing, which factor is MOST critical when determining the optimal
number of machines per cell to minimize material handling costs while maintaining
flexibility?
A. The historical utilization rate of each machine type across all product families
B. The precedence relationships and cycle time balance of operations within the
product family
C. The total capital budget allocated for equipment acquisition in the current fiscal year
D. The average setup time reduction achievable through SMED techniques on
bottleneck machines
CORRECT ANSWER: B. The precedence relationships and cycle time balance of
operations within the product family
Rationale: Cellular manufacturing aims to group machines and operations to efficiently
produce a family of parts. The primary design consideration is balancing the workflow
within the cell to minimize idle time, work-in-process inventory, and material
movement. Precedence relationships dictate the sequence of operations, and cycle
time balancing ensures that no single machine becomes a persistent bottleneck, which
directly impacts material handling frequency and cell flexibility. While utilization,
budget, and setup times are relevant, they are secondary to the fundamental workflow
design that governs cell efficiency and responsiveness.
Question 2: When applying the Theory of Constraints (TOC) to a multi-stage service
process with variable arrival rates, which metric provides the MOST actionable
insight for identifying the system's current constraint?
A. The average service time per customer at each stage
B. The utilization percentage of each resource pool
C. The cumulative flow diagram showing work item age and throughput
D. The standard deviation of inter-arrival times at the process entry point
CORRECT ANSWER: C. The cumulative flow diagram showing work item age and
throughput
Rationale: In dynamic service environments with variable demand, static metrics like
average service time or utilization can be misleading due to queuing effects and
transient bottlenecks. A cumulative flow diagram (CFD) visualizes the number of work
items in each state over time, directly revealing where work accumulates (indicating a
constraint) and how throughput evolves. It integrates arrival variability, processing
times, and queue behavior, providing a holistic, time-based view essential for TOC's
,focus on managing flow. Utilization (B) can be high at non-constraints due to starvation,
while arrival variability (D) is an input characteristic, not a system performance
measure.
Question 3: A firm is evaluating a transition from a push-based MRP system to a
pull-based Kanban system for component replenishment. Which condition would
MOST strongly justify maintaining a hybrid approach rather than a full conversion?
A. The component has highly predictable demand with low coefficient of variation
B. The supplier lead time is significantly longer than the production cycle time for the
final assembly
C. The component is used in a wide variety of end products with highly correlated
demand patterns
D. The cost of holding inventory for the component is negligible compared to stockout
costs
CORRECT ANSWER: B. The supplier lead time is significantly longer than the
production cycle time for the final assembly
Rationale: Kanban systems excel when replenishment lead times are short relative to
consumption rates, allowing small lot sizes and rapid response. If supplier lead time
exceeds the final assembly cycle time, a pure pull system risks frequent stockouts
because the signal to replenish cannot be acted upon quickly enough. A hybrid
approach, using MRP for long-lead-time, planned procurement and Kanban for internal,
short-lead-time movement, balances responsiveness with feasibility. Predictable
demand (A) favors pure pull, correlated demand (C) can be managed with pull if lead
times allow, and low holding cost (D) might favor push, but the lead time mismatch is
the most fundamental operational constraint.
Question 4: In designing a quality function deployment (QFD) matrix for a new
software product, which customer requirement would be LEAST appropriately
translated into a measurable technical descriptor in the "How" section?
A. "The application should launch in under two seconds on a standard mobile device"
B. "Users should feel confident that their personal data is secure"
C. "The interface must be intuitive enough for first-time users to complete core tasks
without training"
D. "The system must process at least 1000 transactions per minute during peak load"
CORRECT ANSWER: C. "The interface must be intuitive enough for first-time users
to complete core tasks without training"
Rationale: QFD requires translating subjective customer "whats" into objective,
measurable technical "hows". Options A, B, and D can be directly quantified: launch
time (seconds), security metrics (encryption standards, penetration test results), and
throughput (transactions/minute). "Intuitiveness" (C) is a complex, subjective
perception influenced by numerous design elements (layout, terminology, feedback).
While it can be assessed via usability testing (e.g., task completion rate, time-on-task),
,it is not a single, directly measurable technical descriptor like the others; it requires
decomposition into multiple, lower-level technical requirements, making it the least
directly translatable in the initial QFD mapping.
Question 5: When conducting a risk assessment for a global supply chain, which
methodology is BEST suited for quantifying the potential financial impact of a low-
probability, high-severity disruption event, such as a geopolitical conflict blocking
a key shipping lane?
A. Failure Mode and Effects Analysis (FMEA) with Risk Priority Numbers
B. Monte Carlo simulation incorporating probability distributions for disruption duration
and cost variables
C. A simple checklist of potential risks rated on a 1-5 scale for likelihood and impact
D. Historical analysis of past disruption events and their recorded financial losses
CORRECT ANSWER: B. Monte Carlo simulation incorporating probability
distributions for disruption duration and cost variables
Rationale: Low-probability, high-severity events are characterized by deep uncertainty
and non-linear impacts. Monte Carlo simulation is ideal because it models the complex
interdependencies and variabilities (e.g., duration of blockage, alternative routing costs,
inventory buffer depletion) by running thousands of scenarios with input variables
defined by probability distributions. This generates a probability distribution of potential
financial outcomes, enabling calculation of metrics like Value at Risk (VaR) or expected
shortfall. FMEA (A) and checklists (C) are qualitative or semi-quantitative and struggle
with complex, systemic risks. Historical analysis (D) is often insufficient for
unprecedented or rare events.
Question 6: For a service operation with a single server and Poisson arrivals, if the
manager aims to reduce the average customer waiting time in the queue (Wq) by
50%, which action would be MOST effective, assuming the service rate (μ) can be
adjusted?
A. Increase the service rate (μ) by 25%
B. Decrease the arrival rate (λ) by 20% through appointment scheduling
C. Increase the service rate (μ) by 100% (i.e., double it)
D. Decrease the arrival rate (λ) by 50% through demand management
CORRECT ANSWER: C. Increase the service rate (μ) by 100% (i.e., double it)
Rationale: For an M/M/1 queue, Wq = λ / [μ(μ - λ)]. The relationship is non-linear.
Doubling μ (C) has a dramatic effect: if originally ρ = λ/μ = 0.8, Wq = λ/[μ(0.2μ)] = 5λ/μ².
After doubling μ to 2μ, ρ' = λ/(2μ) = 0.4, and Wq' = λ/[2μ(2μ - λ)] = λ/[2μ(1.2μ)] ≈ λ/(2.4μ²),
which is roughly a 92% reduction, far exceeding 50%. A 25% increase in μ (A) yields a
smaller reduction. Reducing λ (B, D) also helps, but due to the formula's structure,
increasing μ is generally more potent for reducing Wq, especially at high utilization. The
exact calculation confirms that doubling μ is the most effective single action among the
options.
, Question 7: In a lean implementation, which of the following is a PRIMARY purpose
of establishing a heijunka (production leveling) box at the pacemaker process?
A. To visually signal when a kanban card is needed for material replenishment
B. To sequence production orders in a way that minimizes changeover times through
grouping similar items
C. To smooth the volume and mix of production over a fixed time period to absorb
demand variability
D. To calculate the takt time based on customer demand and available production time
CORRECT ANSWER: C. To smooth the volume and mix of production over a fixed
time period to absorb demand variability
Rationale: Heijunka is a core lean tool for production leveling. Its primary purpose is to
decouple production from erratic customer demand by creating a predictable, leveled
schedule at the pacemaker process. This smoothing of both volume (total units) and
mix (product variants) over a period (e.g., a day or week) reduces muda (waste)
associated with overproduction, waiting, and uneven workloads (mura), and makes the
system more responsive and stable. While changeover reduction (B) is a related goal
often achieved via SMED, it is not the primary purpose of the heijunka box itself. Visual
signaling (A) is the role of kanban, and takt time calculation (D) is a separate planning
step.
Question 8: When selecting a location for a new distribution center using the
factor-rating method, which factor should be assigned the HIGHEST weight if the
company's primary strategic objective is to achieve same-day delivery for 95% of
customers in a major metropolitan area?
A. Proximity to major highway interchanges and airports
B. Cost per square foot of warehouse space
C. Local labor availability and wage rates
D. Tax incentives offered by the municipal government
CORRECT ANSWER: A. Proximity to major highway interchanges and airports
Rationale: The factor-rating method weights criteria based on strategic importance. For
a same-day delivery objective in a metro area, transportation access and proximity to
the customer base are paramount. Being near major highways and airports minimizes
line-haul and last-mile transit times, which is the critical enabler for same-day service.
While cost (B), labor (C), and taxes (D) are important operational and financial factors,
they are secondary to the fundamental requirement of physical accessibility and speed-
to-customer when the strategic goal is time-based competition. A location with low
cost but poor access would fail the core objective.
Question 9: In project management using the Critical Path Method (CPM), if an
activity on the critical path has its duration reduced by crashing, what is the
IMMEDIATE and CERTAIN effect on the project network?
