Posted on: 29th Mar 2024
MTH355: Basic Mathematical Optimisation Assignment, SUSS, Singapore: A company is using linear programming to determine the optimal production mix for two products, A and B
Question 3
A company is using linear programming to determine the optimal production mix for two products, A and B. The objective is to maximize profit. The original linear programming problem is as follows:
Maximize Z = 3A + 5B
subject to:
(1) 2A + B ≤ 10;
(2) A + 3B ≤ 12;
(3) A, B ≥ 0.
Maximize Z = 3A + 5B
subject to:
(1) 2A + B ≤ 10;
(2) A + 3B ≤ 12;
(3) A, B ≥ 0.
The company has found the optimal solution to be A = 3.6, B = 2.8, and the maximum profit Z = 24.8.
Now, the company is considering making changes to the problem. They anticipate the following changes:
(a) The profit from product A may change from $3 to $4.
(b) The profit from product B may change from $5 to $6.
(c) The availability of resource in Constraint (1) may change from 10 units to 12 units.
(d) The availability of resource in Constraint (2) may change from 12 units to 10 units.
(b) The profit from product B may change from $5 to $6.
(c) The availability of resource in Constraint (1) may change from 10 units to 12 units.
(d) The availability of resource in Constraint (2) may change from 12 units to 10 units.
One change will be carried out at one time. That is, when the company makes one change, the rest will remain the same. Determine how each of these changes would impact the optimal solution.
Buy Custom Answer of This Assessment & Raise Your Grades
Question 4
(a) By using the Simplex Method, solve the following linear programming:
(a) By using the Simplex Method, solve the following linear programming:

(b) Formulate the dual programming of the above linear programming and determine the optimal objective value of the dual programming.
Hire a Professional Essay & Assignment Writer for completing your Academic Assessments
Get Help By Expert
Attention Singaporean students! Struggling with your MTH355 Basic Mathematical Optimisation Assignment at SUSS? Look no further! Our services extend beyond just mathematics—we offer specialized nursing assignment help in Singapore and top-notch report writing helper too. Worried about keeping up with coursework? Fear not! You can now pay our experts to guide you through your courses
Tags:-
Answer
Recent Solved Questions
- Final Assignment: Migrating FashionOnline’s Infrastructure to AWS: A Strategy for Enhanced Availability and Data Protection
- HRM331: Talent Management – Strategic Shift from the War for Talent to the Wealth of Talent
- Marginalised Populations – The Structural and Cultural Exclusion of People Experiencing Homelessness in Singapore
- CVEN3501 Assignment 2: Groundwater Modelling of Drawdown from a Pumping Bore
- CSCI312 Assignment 2: Conceptual Modelling and Implementation of a Data Warehouse and Hive Queries
- CH2123 Assignment: Fugacity, VLE Modeling & Applications of Henry’s Law
- BAFI1045 Assignment -Constructing and Evaluating Passive and Active Portfolios Based on the Straits Times Index (STI)
- FIN2210E/FIN2212E Group Assignment: Financial Risk Management Analysis of Bursa Malaysia Companies
- FLM101 Assignment: A Film Analysis: Stylistic Techniques and Their Thematic Importance
- HRM Assignment Answer: Talent Transformation in the Age of AI: Turning Challenges into Opportunities via Ecosystem Innovation
UP TO 15 % DISCOUNT