Mathematics

Mathematics

Problem

Examine the following set of linear inequalities: (1) x≥0x\ge0, \; (2) y≥0y\ge0, \; (3) x+y≤10x+y\le10, \; (4) 2x+2y≤202x+2y\le20, \; (5) 3x+3y≤303x+3y\le30, \; (6) x+y≥12x+y\ge12. (i) List all constraints that are redundant. (ii) State whether the overall system is feasible or infeasible. a. (i) List all redundant constraints. b. (ii) State feasibility: "Feasible" or "Infeasible".

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