withThe optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of formcorresponding slacks s; and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1and resource 2, respectively.x1 x23$1S2$3 Sol.2 0010x11 21 005820 -1-1 102830310110Using the optimal tableau and sensitivity analysis, answer the following questions.How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming thatthe optimal basis does not change?O i. 5○ ii. 2O iii. 10○ iv.This cannot be read directly from the tableau.

Given:The optimal tableau of a linear programming (LP) problem in maximization form.The LP has three…

with The optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of form corresponding slacks 8, and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1 and resource 2, respectively. x1 x2 $1 82 $3 Sol. - 0 3 2 0 0 10 x1 1 2 1 0 0 5 82 0 -1 -1 1 0 2 83 0 3101 10 Using the optimal tableau and sensitivity analysis, answer the following questions. How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming that the optimal basis does not change? O i. 5 O ii. 2 ○ iii. 10 O iv. This cannot be read directly from the tableau.

with The optimal tableau of an LP is given below. For context, the problem is a maximization program, the three constraints are of form corresponding slacks 8, and decision variables are non-negative. The first and second constraint are defined by the availability of resource 1 and resource 2, respectively. x1 x2 $1 82 $3 Sol. - 0 3 2 0 0 10 x1 1 2 1 0 0 5 82 0 -1 -1 1 0 2 83 0 3101 10 Using the optimal tableau and sensitivity analysis, answer the following questions. How much would the objective function value increase at the optimum if there was one additional unit of resource 1 available, assuming that the optimal basis does not change? O i. 5 O ii. 2 ○ iii. 10 O iv. This cannot be read directly from the tableau.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 39E

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