Question: The value of a shadow price cannot be negative because it represents the amount by which the objective function value improves for a unit increase

The value of a shadow price cannot be negative because it represents the amount by which the objective function value improves for a unit increase to the right hand side of a constraint. True False

A company makes two products, A and B. A sells for $100 and B sells for $90. The variable production costs are $30 per unit for A and $25 for B. Let x1 denote the number of units of product A to produce and x2 denote the number of units of product B to produce. From the companys perspective, which of the following would not be a reasonable objective function:

Max 30x1 + 25x2

Max 70x1 + 65x2

Max 100x1 + 90x2

All of the options given are reasonable

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