[3.49] The following is the current simplex tableau of a given maximizationproblem. The objective is to maximize 2x1 - 4x2, and the slack variables are x3and x4. The constraints are of the type.ZZx2x3b1f gAFRO01 1/5de010x3XI 0X1C1/3 1a. Find the unknowns a through g.Find B!b.ХА2RHSC.Find ax3/ox2, daz/aby, dz/dx4, x₁ /db₂.d. Is the tableau optimal?84am

Answered: Image /qna-images/answer/1b21550b-9586-47b1-9c3b-e1398035a9f3.jpg

Answered: [3.49] The following is the current…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.4: Systems Of Linear Inequalities Linear Programming

Problem 7CQ

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Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.
Graph: 3x+2y6.
A company produces three types of solar panels, types A, B and C at a profit of €50 ,€90 and €150 respectively. If X, is the number of type A generators, X, is the number of type B generators and X3 is the number of type C generators sold by the company then from the data in the simplex table below, determine the value of the maximum profit Z. X, X2 X3 S, S2 S3 X3 1 0.1 0.7 0.4 80 X, 1 0.8 0.4 0.3 60 X2 1 0.2 -0.6 0.8 40 P 5.1 3.9 7.6 Answer:
Mr. Omar-doh sells sheep during the annual county auction. He wishes to use linear programming to describe his problem and therefore consults the UoN for assistance. Sheep come in three sizes: large, medium, and small. The large sheep (x.) cost Kshs. 3,500 and sell for Kshs.6,000 each; the medium sheep (x) cost Kshs.3,000 and sell for Kshs.5,000 each; the small sheep (x.) cost Kshs. 1,500 and sell for Kshs.2,500 each. Omar-doh must order at least twenty sheep of each type. He can spend no more than Kshs.0.3 million on sheep investment. His space limitations are such that he cannot exceed 60 units of the large and medium sheep combined. He wants to obtain a gross revenue of at least half a million from selling sheep. He further wants to maximize his profits subject to all the constraints above. (a) Formulate the appropriate linear programming program (LPP) for Mr. Omar-doh
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Answer the question using linear programming simplex method. A Western shop wishes to purchase 300 felt and 200 straw cowboy hats. Bids have been received from the wholesalers. Beta Hatters has agreed to supply not more than 200 hats. Kappa Hatters not more than 250, Delta Hatters not more than 150. The owner of the shop has estimated that his profit per hat sold from Beta Hatters would be P30/felt and P40/straw, from Kappa Hatters P38/felt and P35/straw, and from Delta Hatters P40/felt nad P36/straw. The Western shop wants to determine maximum profit.

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