Explanation Given Information: The provided payoff matrix is: [ − 3 0 1 − 4 0 0 0 − 1 − 2 ] Formula used: Solve the matrix game as: Step 1: Reduce the provided payoff matrix. Step 2: Make all the entries non negative by addition by a fixed number k and no column should be all zero. Step 3: Write 1 s to the right of and below the matrix, and solve this primal problem with the help of the simplex method. Step 4: Obtain the optical strategies. Column strategy is enlisted below: 1.Express the solution to the primal problem in the form of column vector. 2. Now, divide each entry of the solution vector by p . 3. Insert zeros in position corresponding to the columns deleted during reduction. Row strategy is enlisted below: 1. Express the solution to the dual problem in the form of row vector. 2. Now, divide each entry by p . 3. Insert zeros in positions corresponding to the rows deleted during reduction. Value of the game is expressed as, e = 1 p − k Calculation: Consider the provided payoff matrix is: [ − 3 0 1 − 4 0 0 0 − 1 − 2 ] Add k = 3 to each entry and put 1 s to the right and be below. Represent this above problem by the matrix as, [ 0 3 4 3 2 1 1 1 1 1 1 0 ] Obtain the corresponding linear programming problem as, Maximize p = x + y + z Subjuect to 3 y + 4 z ≤ 1 3 x + 2 y + z ≤ 1 x ≥ 0 , y ≥ 0

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 6, Problem 24RE

To determine

To calculate: The game matrix when the provided payoff matrix is

[−301−4000−1−2].

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 23RE

Chapter 6, Problem 25RE

Students have asked these similar questions

This question is a previous exam question. I am using it for practice but am stuck

in Q. A firm price of 501: If the Total cast is given by perfect competition sells its products at the TTC = 3Q² +2Q+5. level of output will will be the level of profit at What What Devive the Consumer Curve approach. demand the function maximize this firm's, that using putput level. the indifference prpfit. Q₂. The Total Cost equation in the production of bacon has hypothetical factor a 2 A C= "TC 1000+ 159" +03 ; Where ç. Kash, Bacao - metric bone Compute and 11" tonnes the and average cost at output level of 10. Stretch theme marginal cost of the the shope Carve an the production average, Cost arve 12 tonnes and explain, the relationship between Marginal Cost product es tamen op d Galaxy A71 01 Curve in

if w(x, y, z) = sin' ( xyz) (y zî + x z j + xy k) Find grad (div) at (0.5, 1, 0.5) (xyz)2

Chapter 6 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The game matrix when the provided payoff matrix is [ − 3 0 1 − 4 0 0 0 − 1 − 2 ] .

Solution Summary: The author explains how to solve the matrix game using the simplex method.

Videos

To calculate: The game matrix when the provided payoff matrix is

[−301−4000−1−2].

Want to see the full answer?

Chapter 6 Solutions

The game matrix when the provided payoff matrix is [ − 3 0 1 − 4 0 0 0 − 1 − 2 ] .

Solution Summary: The author explains how to solve the matrix game using the simplex method.

Videos

To calculate: The game matrix when the provided payoff matrix is [−301−4000−1−2].

Want to see the full answer?

Chapter 6 Solutions

To calculate: The game matrix when the provided payoff matrix is

[−301−4000−1−2].