Asked by Rosario Martinez on Jun 11, 2024
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A linear programming problem has two constraints 2X + 4Y ≤ 100 and 1X + 8Y ≤ 100, plus nonnegativity constraints on X and Y. Which of the following statements about its feasible region is true?
A) There are four corner points including (50, 0) and (0, 12.5) .
B) The two corner points are (0, 0) and (50, 12.5) .
C) The graphical origin (0, 0) is not in the feasible region.
D) The feasible region includes all points that satisfy one constraint, the other, or both.
E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.
Feasible Region
In operations research and optimization, the set of all possible points that satisfy a set of constraints, representing viable solutions to a problem.
Nonnegativity Constraints
Restrictions in mathematical modeling that require certain variables to be greater than or equal to zero.
Statements
Financial records that provide an overview of a company's financial condition, including the balance sheet, income statement, and cash flow statement.
- Ascertain the permissible zone for a linear programming challenge through graphical methods.
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Learning Objectives
- Ascertain the permissible zone for a linear programming challenge through graphical methods.
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