Linear Programming problem: A Linear programming problem consists of minimizing (or maximizing) an objective function f = ax + by where a, b ∈ R, subject to certain constraints expressed as linear inequations in x and y.
A closed convex polygon is the set of all points within and on some polygon with a finite number of vertices.
An open convex region is the set of all the points within and on some polygon, which is open in one side, with a finite number of vertices.
The solution set of a system of finite number of linear equations and inequations in two unknowns is one of the following subsets.
(i) A closed convex polygon
(ii) An open convex polygon
(iii) An empty set
The Fundamental Theorem:
If the values of the expression f = ax + by are considered over the set of points constituting a non-empty closed convex polygon, then the maximum (or minimum) of 'f' occurs on at least one of the vertices of the polygon.
Graphical method of solving an LPP for which the solution set of the constraints is a closed convex polygon.
(i) Draw the graph of the system of inequation.
(ii) Find the vertices of the closed convex polygon.
(iii) Determine the value of the objective function at each of these vertices.
(iv) The vertex at which the objective function has the maximum (or minimum) value gives the required solution.
Feasible Region:
The solution set of constraints of an LPP is a convex set (open or closed) called the feasible region.
Feasible solution:
Any point (x, y) in the feasible region gives a solution to LPP called the feasible solution.
Iso profit line:
Any line belonging to the system of parallel lines given by the objective function for various values of the objective function f, is called an Iso profit line.
CMS - Nalsar MBA Admissions Notification 2014-15
Centre for Management Studies, NALSAR University, Hyderabad has announced notification for admissions into MBA programmes for the academic session 2014.
Eligibility : Graduation in any branch with a valid CAT / CMAT / GRE score.
Age : Not more than 30 years.
Number of seats : 60
Application fee : Rs. 1000 in the form of DD drawn in favour of Registrar, NALSAR MBA A/c and payable at Hyderabad.
Duly filled in application form along with relevant documents and fee DD should reach the Registrar, NALSAR University of Law, Post Box No. 1, NISA Hakimpet, Justice City, Shameerpet, RR District, Hyderabad - 500 078.
Candidates will be short-listed for group discussion and personal interview based on merit in CAT / CMAT / GRE score. Last date for the receipt of filled in application form is 28th February, 2014. Website : www.cms.nalsar.ac.in.
Eligibility : Graduation in any branch with a valid CAT / CMAT / GRE score.
Age : Not more than 30 years.
Number of seats : 60
Application fee : Rs. 1000 in the form of DD drawn in favour of Registrar, NALSAR MBA A/c and payable at Hyderabad.
Duly filled in application form along with relevant documents and fee DD should reach the Registrar, NALSAR University of Law, Post Box No. 1, NISA Hakimpet, Justice City, Shameerpet, RR District, Hyderabad - 500 078.
Candidates will be short-listed for group discussion and personal interview based on merit in CAT / CMAT / GRE score. Last date for the receipt of filled in application form is 28th February, 2014. Website : www.cms.nalsar.ac.in.
University of Hyderabad Distance Education Admissions 2014-15
University of Hyderabad, Hyderabad is inviting applications from eligible candidates for admissions into Post Graduate Diploma courses under distance learning for the academic year 2014.
PG Diploma courses are offered in the subject of Project Management, Library Automation and Networking, Cyber Law and Intellectual Property Rights, Business Management, Communicative English, Criminal Justice and Forensic Science, Governance, Human Rights, Translation Studies in Hindi, Telecommunications, Medicinal Botany and Chemical Analysis and Quality Management.
Applicants must have Graduation in any branch. The application fee is Rs. 300 in the form of DD drawn in favour of Finance Officer University of Hyderabad.
The completed application form in the prescribed format (available on website : www.uohyd.ac.in) along with photocopies of educational qualification and fee DD should reach the Assistant Registrar, CDVL Golden Threshold, Abids, Nampally Station Road, Hyderabad - 500 001.
Last date for the submission of completed application form is 15th February, 2014. For any information see website : www.uohyd.ac.in.
PG Diploma courses are offered in the subject of Project Management, Library Automation and Networking, Cyber Law and Intellectual Property Rights, Business Management, Communicative English, Criminal Justice and Forensic Science, Governance, Human Rights, Translation Studies in Hindi, Telecommunications, Medicinal Botany and Chemical Analysis and Quality Management.
Applicants must have Graduation in any branch. The application fee is Rs. 300 in the form of DD drawn in favour of Finance Officer University of Hyderabad.
The completed application form in the prescribed format (available on website : www.uohyd.ac.in) along with photocopies of educational qualification and fee DD should reach the Assistant Registrar, CDVL Golden Threshold, Abids, Nampally Station Road, Hyderabad - 500 001.
Last date for the submission of completed application form is 15th February, 2014. For any information see website : www.uohyd.ac.in.
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