Question: Given the following linear programming problem and the simplex tableau (Table 4.5) containing the solution to it, (i) formulate the dual to the given problem,

Given the following linear programming problem and the simplex tableau (Table 4.5)

containing the solution to it, (i) formulate the dual to the given problem, and (ii) obtain the solution to the dual from the tableau. Also verify that the objective function values of both the problems are same.

Minimise Z = x + x2 Subject to 6x + 2x2 24

Minimise Z = x + x2 Subject to 6x + 2x2 24 3x + 2x2 18 x + 3x212 X1, X2 0

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 Understanding Management Questions!

Question 2 a. Given the following linear programming model: MinZ=10X1+2X2 Such that: 8X1+4X2=326X1+8X2484X1+6X224X1,X20 i. Transform this problem into standard simplex form [5] ii. Construct the...

Problem 4 (20 marks in total). You are given the following linear programming problem. min0.12x+0.15ys..60x+60y30012x+6y3610x+30y90x,y0 (a) (2 marks) Write the standard form of the problem. (b) (1...

(b) You are given the following linear programming problem: Minimise g(x,y,z) = x+ y + 2z such that x+y 24 y+z24 x + 2z26 . (i) Formulate the dual problem. (ii) Also find optimal solutions for both...

Consider the following linear programming problem: max 43:1 + 332 at. 3m1 :62 S 12 22314-5172 5 18 $17 3:2 2 0~ 1. Sketch the graph of the feasible region for this linear programming problem, and...

Consider the following linear programming problem: max 2x1+x2 s.t. 2x1 x2 10 2x1 + x2 16 x1,x2 0. 1. Sketch the graph of the feasible region for this linear programming problem, and determine the...

plz solve this simplex problem manually 1. Consider the following linear programming problem. M M Max 5.x, + 6x2 + 4xz s.t. 3x, + 4x2 + 2xy = 120 x + 2x2 + x3 50 *; + 2x2 + 3x3 = 30 #1, #2, X, 20 The...

2. (33 pt) Consider the following linear programming problem minimize -2.11 - 3.02 + 4.83 subject to 11 + 2.12 0. (2a) Write out the dual problem of the above LP problem. (4 pt) (2b) Use the duality...

please dont copy other answer from chegg Consider the following linear programming problem with three resources and three activities: Maximize Z = 2x1 - x2 + x3 (0) subject to 3x1 - 2x2 + 2x3 = 15...

Set up and solve this word problem : A cat breeder has 90 ounces (oz) of tuna, 80 ounces of liver, and 50 ounces of chicken. A Siamese cat requires 2 oz of tuna, 1 oz of liver, and 1 oz of chicken...

please do not solve in excel 1. (a) The linear programming problem maximise z=5x1+4x2 subject to: x1+5x23x1+2x2x1,x270540 has the following solution (in the final Simplex tableau): i. Perform...

1. Provide the equation for each ratio listed below. 2. What does each ratio listed tell about the company? 3. Compare the company ratios to the standard ratios, and give an overall analysis of the...

An Earth satellite has a speed of 28,070 km/hr when it is at its perigee of 220 km above Earths surface. Find the apogee distance, its speed at apogee, and its period of revolution.

The following is the mission of Allied Universal: Allied Universal , through its unparalleled customer relationships, provides proactive security services, cutting - edge smart technology, and...

Fifty-three participants performed a series of tests in which a small zap was delivered to one compass point, selected at random, on a joystick in their hand. In one setting, subjects were told to...

Managers personal preferences and styles favor a large span. LO.1

Greater change and uncertainty in the environment are usually associated with decentralization. A good example of how decentralization can help cope with rapid change and uncertainty occurred...

The amount of centralization or decentralization should fit the firms strategy. For example, Johnson & Johnson gives almost complete authority to its 180 operating companies to develop and market...

E14.4 (LO 2), AP Knight Company reports the following costs and expenses in May. Factory utilities $ 15,500 Direct labor $69,100 Depreciation on factory equipment 12,650 Sales salaries 46,400...

4 Company XYZ reported the following at December 31, 2021: Assets $30000 Beginning Owner capital 18337 Owner withdrawals 695 Net income 878 Calculate its total liabilities. NOTE: If your answer is...

Business Solutions Co. Ltd. has a credit unadjusted balance of $5,000 in its Allowance for Doubtful Accounts at the end of the year. Based on an aging of its accounts receivable at the end of the...