COMEDK · Maths · 35. Linear Programming
Maximize \(Z=7 x_{1}-3 x_{2}\) subject to, \(x_{1}+2 x_{2} \leq 2,2 x_{1}+4 x_{2} \geq 8, x_{1} \geq 0, x_{2} \geq 0\).
- A Unique solution
- B Unbounded solution
- C Infeasible solution
- D Infinite number of solutions
Answer & Solution
Correct Answer
(C) Infeasible solution
Step-by-step Solution
Detailed explanation
We have, \(x_{1}+2 x_{2}=2 ; 2 x_{1}+4 x_{2}=8\) i.e., \(\quad \frac{x_{1}}{2}+\frac{x_{2}}{1}=1, \frac{x_{1}}{4}+\frac{x_{2}}{2}=1\) The constraint are shown by the graph From the graph, we conclude that there is no feasible region, i.e. there is no unique solutions satisfying…
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