Question: Question One a) Briefly explain the below terms Mathematical program. (2mks) cm Rank variables (2mks) ( Optimal solution. (2mks) b) Put the following program in

Question One a) Briefly explain the below terms Mathematical program. (2mks) cm Rank variables (2mks) ( Optimal solution. (2mks) b) Put the following program in standard forum Maximize: Z=5x1 + 2xx Subject to 6x1 + x26 4x, + 3x2212 X+2x, 24 With : X and X, nonnegative. (2mks) c) Briefly outline the simplex method. (6mks) 4) Use the dual simplex method to solve the following problem. (9mks) Maximize: Z=-2x, - 3X, Subject to: x, +X, 22 2x + x2 5 10 X+x, 58 With X and X, nonnegative Determine the symmetric dual of the below program. (3mks) Minimize : 2-5xl + 2x2 +x3 Subject to: 2x1 + 3x2 + x3 20 6x, +8x, + 5x, 230 7x + x + 3x, 240 X + 2x, + 4x, 2 50 With all valuables nonnegative Question Two a) State the duality theorem. (2mks) b) Briefly explain sensitivity analysis and the changes it seeks to investigate (5mks) Consider the following LP problem. (13mks) Maximize: Z=3x, + 2x2 + 4x, Subject to: 2x, +3X, - 2x, 512 X, + X2 + 2X, 510 With all variables nonnegative The optional simplex tableau for the standard forum of the above problem (with rank variables X4 and X5) Question One a) Briefly explain the below terms Mathematical program. (2mks) cm Rank variables (2mks) ( Optimal solution. (2mks) b) Put the following program in standard forum Maximize: Z=5x1 + 2xx Subject to 6x1 + x26 4x, + 3x2212 X+2x, 24 With : X and X, nonnegative. (2mks) c) Briefly outline the simplex method. (6mks) 4) Use the dual simplex method to solve the following problem. (9mks) Maximize: Z=-2x, - 3X, Subject to: x, +X, 22 2x + x2 5 10 X+x, 58 With X and X, nonnegative Determine the symmetric dual of the below program. (3mks) Minimize : 2-5xl + 2x2 +x3 Subject to: 2x1 + 3x2 + x3 20 6x, +8x, + 5x, 230 7x + x + 3x, 240 X + 2x, + 4x, 2 50 With all valuables nonnegative Question Two a) State the duality theorem. (2mks) b) Briefly explain sensitivity analysis and the changes it seeks to investigate (5mks) Consider the following LP problem. (13mks) Maximize: Z=3x, + 2x2 + 4x, Subject to: 2x, +3X, - 2x, 512 X, + X2 + 2X, 510 With all variables nonnegative The optional simplex tableau for the standard forum of the above problem (with rank variables X4 and X5)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

uantitative Analysis BA 452 Homework 3 Questions Homework 3 covers the theory and applications in Lessons I-6 and I-7. This document has four parts: Objectives of doing your homework. Assignment of...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

answer all questions Suppose that a bond portfolio with a duration of 12 years is hedged the use of a futures agreement in which the underlying asset has a duration of 4 years. What is likely to be...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

answer all parts111 Your second essay assignment requires you to critically examine the American Psychological Association code of ethics. But does the code of ethics from your own profession...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Planning Demand and Supply in a Supply Chain Capacity Planning and Assignment 1 utdallas.edu/~metin Outline Capacity Planning Product-to-plant Assignment utdallas.edu/~metin 2 Deterministic Capacity...

ACCT 326 Writing Assignment #1 Managing in a global, digital society requires accountants to pay close attention about information. One of the reasons accountants have to pay close attention to...

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

Ferrell & Gresham (1985), A Contingency Framework for Understanding Ethical Decision Making in Marketing, Journal of Marketing, Vol. 49 (Summer), pp. 87-96. Just Try and Social Distance This,...

After reading the PowerPoint on each answer the given question below N.B: You are also expected to refer electronic book/soft copy and internet/given website if you dont get answer from the given...

Suppose a firm's price/earnings ratio is 10. It expects to pay a dividend of $1.20 per share to maintain a 60 percent payout ratio. What is the firm's required return if its return on equity is 13.5...

what is a situation in which noncompliance with laws and regulations impacts amounts already included in financial statements

What is an example of constructive feedback? provide reference