LP and Duality: Clarifications Based on Your Exit Ticket

Dear students,

I have prepared a supplemental lesson to address questions and misconceptions from the LP and Duality Exit Ticket. The 23 slides include English narration, diagrams, and step-by-step worked solutions. The narration takes about 13 minutes; please allow additional time to pause and work through the examples.

The lesson explains:
• What the primal and dual variables mean, and how to construct the dual constraints.
• How feasible primal and dual solutions certify optimality.
• Why the shadow price of resource 1 applies over 2.5 ≤ b₁ ≤ 5.
• Why b₁ = 6 gives x = 0, y = 5, and an optimal profit of 10.

Slides with narration:
https://www.skhgroup.net/teaching/2105623/lp-duality/clarification/slides.html

PDF:
https://www.skhgroup.net/teaching/2105623/lp-duality/clarification/LP-clarification-slides.pdf

PowerPoint with embedded narration:
https://www.skhgroup.net/teaching/2105623/lp-duality/clarification/LP-clarification-narrated.pptx

Please attempt the practice questions on slide 21 before opening the solution on slide 22. If you have not yet submitted the LP Exit Ticket, please complete it after studying. If you have already submitted it, revisit your reasoning and use the feedback field if you still have a question. Include the slide number and the step that you would like explained. Thai or English is welcome.

LP Exit Ticket and feedback:
https://optimization-2105623-class-check.soorathep-k.chatgpt.site/lp-duality

All review materials:
https://www.skhgroup.net/teaching/2105623/lp-duality/clarification/

Thank you for your questions. They help me identify which steps need a clearer explanation.