| University | Singapore University of Social Science (SUSS) |
| Subject | MTH355: Basic Mathematical Optimisation Assignment |
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
Categories:-
Tags:-
Tags:-
Answer
Recent Solved Questions
- MBA Assignment, UOM, Singapore: You are asked to undertake a financial ratio analysis of your chosen organisation
- Managerial accounting Home Work, SUSS, Singapore: HomeChef sources its ingredients from local producers and thus charges a premium
- MNO3701: Develop your critical thinking and analytical skills through an analysis of a current: Human Capital Management Essay, NUS
- Wills and Estate Individual Assignment, KU, Singapore: You were informed by Keith’s close friend that Keith suffered from posttraumatic stress disorder
- PSY259: Personality and Individual Differences Assignment, SUSS, Singapore: This ECA requires you to analyse a case study as well as to conduct an observational practice over ten days
- ARBE2308: Cost Planning & Estimating Assignment, Singapore: You have been working for a couple of years at QS2301 & Associates Pty Limited
- ACCT2062: Financila Accounting & Analysis Assignment, Financial Accounting and Analysis Assignment, RMIT, Singapore: You need to create and access a 30-day free Xero Trial file to complete the requirements of this assessment
- CC0003: Ethics and civics in a multicultural world Assignment, NTU, Singapore: Multiculturalism has made important contributions to the development of a mature society
- HRM318: Human Capital Measurement Assignment, SUSS, Singapore: In anticipation of Jungle’s emphasis on the need to have decisions based on evidence
- HRM318: Human Capital Measurement Assignment, SUSS, Singapore: The HR director is interested to support the use of face-to-face training method with statistical evidence
UP TO 15 % DISCOUNT