Exam 18: Introduction to Optimization

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To retain model flexibility while using Solver you must:

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D

In the "Solver Options" box of Excel Solver,what should be checked to ensure that all decision variables are ≥ 0?

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Define feasible solution,infeasible solution,and optimal solution.

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A feasible solution is a particular combination of decision variables that satisfies all of the constraints.An infeasible solution violates at least one of the constraints.The optimal solution is the feasible solution with the largest (for a "max" problem)or smallest (for a "min" function)objective function value.

What are the four steps to setting up an optimization problem with Excel Solver?

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In Linear Programming (LP)problems,all of the relationships among the variables are linear.

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Formulate the following as a linear programming problem. The Ski Company makes skis and snowboards.They are currently planning their operations for October-December,and have just an exclusive signed contracts to sell up to 4,000 pairs of skis and as many snowboards as they can make,to a company that owns several sporting goods stores.The profit that Ski will make is $53 for each pair of skis and $67 for each snowboard.Every pair of skis will require 7 hours from Department A and 12 hours from Department B.Every snowboard will require 5 hours from Department A and 19 hours from Department B.The total hours planned for October-December is 44,535 hours in Department A and 93,217 hours in Department B.

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Not-equals-to constraints (≠)are allowable in optimization problems.

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At the optimal solution of a Linear Program,the difference between the right-hand-side value and the left-hand-side value of a constraint is the ____________________.

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All mathematical programs should include non-negativity constraints.

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Which type of constraint does not allow the solution for a decision variable of an optimization problem to be less than zero?

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With Excel Solver,the range for the Changing Cells box must be entered with absolute references ($ signs).

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The process of thinking about a problem in a structured way often leads to ________ to making a better decision.

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Three reports are available when Solver has successfully found an optimal solution.These are _______.

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_________ are limitations or requirements that must be satisfied.

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In Excel Solver,the Target Cell corresponds to the objective function in the algebraic model.

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A diagram of the situation can help _______ the problem as well as be a(n)______ _______ tool.

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What does LP stand for?

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The advantage of formal optimization modeling is that it can simultaneously consider the effects of alternate decisions to produce the best overall decision according to the objective.

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It is good practice to ____________ the units and the __________ represented by objective function.

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Constraints at their limits at the optimal solution of a Linear Program,that is,with the left-hand-side value equal to the right-hand-side value,are called _________________________.

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