Exam 9: Linear Programming

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When output is maximized subject to a labour constraint, the shadow price of labour is the:

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When the objective function coincides with a single point in the feasible space:

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A positive value for the labour input slack variable implies:

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If the primal objective function is to maximize profit subject to input constraints, the dual objective function is to minimize:

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If QA > 0, then the marginal value of output:

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If the labour slack variable > 0, then:

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When the primal LP problem is to minimize cost subject to various output constraints, the shadow prices in the dual constraints:

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When an LP objective function is to minimize cost:

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The profit function = aQX + bQY, can be written as QY = /b - a/bQY where a and b are the profit contributions of products X and Y, respectively.If both profit contributions increase by a fixed percentage, isoprofit line:

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If X = 0 in the primal solution:

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