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Let $x$ and $y$ be optimal solution of an $LP$ problem, then $......$

• A
  $z=\lambda x+(1-\lambda) y, \lambda \in \mathrm{R}$ is also an optimal solution
• ✓
  $z=\lambda x+(1-\lambda) y, 0 \leq \lambda \leq 1$ gives an optimal solution.
• C
  $z=\lambda x+(1+\lambda) y, 0 \leq \lambda \leq 1$ gives an optimal solution.
• D
  $z=\lambda x+(1+\lambda) y, \lambda \in \mathrm{R}$ gives an optimal solution.