Week 3 Finite Math LaKinya Torres

# Week 3 Finite Math LaKinya Torres - 1 WEEK 3 Week 3...

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1 WEEK 3 Week 3 Assignment LaKinya Torres Grantham University

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2 WEEK 3 1. TRUE : all the coefficients are nonpositive so if one of the xi becomes positive (so not equal to 0) the value of the objective function would decrease : so the only possibility to stay at the optimum is x1 = x2 = … = xn = 0 then P = 0 2. TRUE : the interest of the pivot method is to find the variables that has to be decreased to maximize the objective function. At the end of the Simplex tableau the expression of the objective function is found with the nonbasic variables: all the nonbasic variables that has a negative sign have to be minimized to optimize the objective function (or at least keep it unchanged). 3. TRUE : The smallest ratios chosen during each pivoting steps guarantee that the solution stays in the feasible region. For instance at the initial conditions the pivot column is the x column and the ratios correspond to the intersection of the boundary line y = 0 with the
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