Exam 13: Introduction to Optimization Modeling

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In using Excel to solve linear programming problems,the changing cells represent the:

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If a solution to an LP problem satisfies all of the constraints,then is must be feasible.

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If a constraint has the equation 20x+10y100020 x + 10 y \leq 1000 ,then the slope of the constraint line is function line is -2:

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Suppose the allowable increase and decrease for shadow price for a constraint are $25 (increase)and $10 (decrease).If the right hand side of that constraint were to increase by $10 the optimal value of the objective function would change.

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Unboundedness refers to the situation in which the LP model has been formulated in such a way that the objective function is unbounded - that is,it can be made as large (for maximization problems)or as small (for minimization problems)as we like.

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If the objective function has the equation min{4x+2y}\min \{ 4 x + 2 y \} ,then the slope of the objective function line is 2:

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In most cases in solving linear programming problems,we want the decision variables to be:

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The prototype linear programming problem is to select an optimal mix of products to produce to maximize profit.This type of problem is referred to as the:

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If the objective function has the equation min{15x+25y}\min \{ 15 x + 25 y \} ,then the y-intercept of the objective function line is 40:

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When formulating a linear programming spreadsheet model,we specify the constraints in a Solver dialog box,since Excel does not show the constraints directly.

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