Production & Operations Management Assignment Solution, MGMT2026

This document presents a comprehensive solution to a Production & Operations Management assignment for the MGMT2026 course at the University of the West Indies Open Campus. The assignment addresses key concepts including demand forecasting, capacity strategy, and facilities planning (location and layout). The solution includes detailed answers to questions on assembly line balancing, cycle time calculation, and workstation allocation. It further explores location strategy by analyzing different location options based on cost factors and layout strategy, differentiating between various layout types and applying layout analysis techniques. The document provides step-by-step calculations and explanations, along with relevant formulas and references to enhance understanding of the core principles of operations management. The assignment covers topics from Unit 3, Unit 5 and Unit 6.

Running head: PRODUCTION & OPERATIONS MANAGEMENT
Production & Operations Management
Name of the Student:
Name of the University:
Author note:

1PRODUCTION & OPERATIONS MANAGEMENT
Table of Contents
Answer to the question 1............................................................................................................2
Part (a)....................................................................................................................................2
Part (b)....................................................................................................................................2
Part (c)....................................................................................................................................2
Part (d)....................................................................................................................................2
Part (e)....................................................................................................................................3
Part (f)....................................................................................................................................3
Answer to the question 2............................................................................................................3
Part (a)....................................................................................................................................3
Part (b)....................................................................................................................................3
Part (c)....................................................................................................................................4
Answer to the question 3............................................................................................................5
Part (a)....................................................................................................................................5
Part (b)....................................................................................................................................5
Part (c)....................................................................................................................................6
Bibliography...............................................................................................................................7
Answer to the question 1

2PRODUCTION & OPERATIONS MANAGEMENT
Part (a)
Part (b)
Cycle time for this operation= (9*60)/60
= 9 minutes.
Part (c)
Theoretical minimum number of work station = 40/9
= 4.4
= 4
Part (d)

3PRODUCTION & OPERATIONS MANAGEMENT
Part (e)
Idle time = 45-45 = 5 minute
Part (f)
Efficiency= (40/ (5*9)) *100%
= 88.9%
Answer to the question 2
Part (a)
Part (b)

4PRODUCTION & OPERATIONS MANAGEMENT
Part (c)
(i)
B1= n∗∑ t∗yt−∑ t∗∑ yt
n∗∑ t2−(∑ t )2
= 4.55
Y = ∑ yt
n
= 40.6
t = ∑ t
n
= 5.5
B0 = Y - B1* t
= 15.6
Thus trend projection is as below
Tt= B0+ B1*t

5PRODUCTION & OPERATIONS MANAGEMENT
= 15.6+4.55*t
(ii)
T11= B0+ B1*11
= 15.6+ (4.55*11)
=65.6
T12= B0+ B1*12
= 15.6+ (4.55*12)
=70.145
Answer to the question 3
Part (a)
Hence location 1 is the better location.
Part (b)

6PRODUCTION & OPERATIONS MANAGEMENT
Hence the required coordinate is (29, 33).
Part (c)
Total variable cost = variable cost * cost per unit
Total cost = Fixed cost + Total variable cost
Let Q be the quantity
The Q is the volume of output which is preferred in each location.

7PRODUCTION & OPERATIONS MANAGEMENT
Bibliography
Hitomi, K. (2017). Manufacturing systems engineering: a unified approach to manufacturing
technology, production management and industrial economics. Routledge.
Krajewski, L. J., Ritzman, L. P., & Malhotra, M. K. (2013). Operations management.
Pearson Education UK.
Malakooti, B. (2014). Operations and production systems with multiple objectives. John
Wiley & Sons.
Mohammadi, S., Soleymani, S., & Mozafari, B. (2014). Scenario-based stochastic operation
management of microgrid including wind, photovoltaic, micro-turbine, fuel cell and
energy storage devices. International Journal of Electrical Power & Energy Systems,
54, 525-535.

8PRODUCTION & OPERATIONS MANAGEMENT