Question

3-4-5 refer to the tollowing problem and its complete solution. probs. Max. Z . 4x1 + 6x2 + 3x3 + x. 4x1 + x2 + 2x, + x.S 700 2x1 + 3x2 + x3 + 2x, 200 (%) (%) 2 R.S. 4 63 - 550 3 /2 700 200 400 - 3 | 6331/ 0 3 /3 9/ 525 ว/10 12 0 20 / 3/0 - 125 20 425 13/20 1 2/ 25 0 3a. Read off the current optimal solution, what d。es xơ measure in this problem? b. Note that at optimality product 4. (xis not being produced Your boss says "1 don't like your optimal solution. to be produced." As the only person with a graduate education you aust give the tollowing information to your boss: . How wi11 2 change per unit production of x, (read off!) is. To what maxinun 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). e. VeriEy your answer in 3b)i. above by letting x, 1 and calculating 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

'The SLack variables are χ5 , arolAq сі у 6 з 1000 55o2 741700 | y 」 02125 14

ぞ ot mo be noteol thad all Hence e tave the optimal rolustton 15 +375 = 5a5 The opiml olution s Ma兀スこ .525