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
- 7WBS2008 Strategic Marketing Planning and Entrepreneurship Assignment CW1 | PSB Academy
- SM9689 Responsible Strategy Individual Assignment Report and Presentation September 2025
- BM9615 Project Management Assessment Individual Report | Northumbria University
- Introduction to Data Communications Assignment Case Study Individual Report | Singapore Management University
- Arts Marketing and Audience Development Assessment 2 Case Study | SMU Singapore
- NUR09718 Advancing Practice through Research Assignment | Edinburgh Napier University (ENU)
- MKTG1001 Foundations of Marketing Assignment 2 Individual Report | The University of Newcastle (UoN)
- S2010C Health and Wellness Graded Assignment AY2025 Term 4 – Republic Polytechnic (RP)
- RBP040L051 Postgraduate Dissertation Assessment brief – University of Roehampton Business School
- ACFI 2070 Business Finance Individual Assignment – The University of Newcastle (UoN)
