Question

Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2 + 4x3 + 3x+ 550 (x5) 2x1 + 3x2 + x3 + 2x‘ S 20O (x7) R.S 4-6 -31 /4 3 1 550 700 200 0 o1 3 o 2 Z O 400 2/11 1/12/10 o 1/11 662 / ง 9 525 2 /20 425 2/ 25 1/2-1/10 13/20 1 0 。 3a. Read off the current optimal solution, (X1,X2 , X3 , X4:2) = ( What does xe measure in this problem? b. Note that at optimality product 4, (x, is not being produce Your boss 9s says "T don'e like your optinal solution. E vant e to be produced." must give the As the only person with a graduate education you gve the following information to your boss: .How will z change per unit production of x, (read off!). . To what maximum value can the production of x, be pushed before the current set of basic variables has to change. (Very short calculation required to answer this). c. Verify your answer in 3b)1. above by letting x, 1 and calculatir the adjusted new values for the basic variables, i.e.. fill in the blanks for the new adjusted solution: x. Now calculate the new Z value, it should agree with your answer in 3b)i.

Answer 1

千 2