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
- Workplace Health & Safety Review: Risk Assessments 1 and Accident Data Analysis
- Sensible Risk Assessment 2 Report: Personal Reflection on Workplace Report and Future Growth
- ACLP M1P TAE Written Assignment: Applying Skills Framework, Assessment Planning & Instructional Design for Learner-Centric Education
- EGH222 Employee Sick Days Prediction Assignment: Regression Model Using Demographic and Lifestyle Data
- Sustainability Presentation Assignment: Strategic Issues & Behavioural Campaign for Selected Company
- A2389C Pharmaceutical Supply Disruption Assignment: US Tariff Impact Case Study for Singapore’s Emergency Preparedness Plan
- 7WBS2012 Career Exploration in the Education Sector Assignment: A Post-MBA Pathway into Nursing Leadership
- CVE2322 Recyclable Gantry Design Assignment Project: Sustainable Civil Engineering Model Challenge
- BMG706 Strategic Quality Change Assignment Report: Enhancing Operational & Quality Management at any Organization
- CVE2323 Structural Systems Report: Analytical & Computational Study of Portal and Frame Structures
UP TO 15 % DISCOUNT