Busıness Decısıon Models Deneme Sınavı Sorusu #1369407

Max Z = 2x1 + 6x2 + 5x3 + 0s1 + 0s2 is the objective function of a linear program. The initial basic feasible solution for this program is (0, 0, 0, 40, 20). Which of the following is the first variable that enters to basic variables?


s1

s2

x1

x2

x3


Yanıt Açıklaması:

The coefficients of the variables in the objective function refer to the effect of one-unit increase of respective variable on the function output Z. Hence, these coefficients correspond to the rate of improvements of the respective variables in Z. According to the objective function of the program, increasing x2 from zero yields more than increasing other variables from zero. Thus, the entering variable is x2.

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