For each of the following programs:(1) Transform the program into standard equation form.(2) List all basic feasible solutions of your standard equation form program. Youshould give the values for both the original decision variables and the slackvariables in each of these basic feasible solutions. (For this part, note that thelinear programs are the same ones you sketched in the Week 3 Courseworkquestion, and looking at the sketches should help you.)(a)(b)maximizesubject tomaximizesubject to- 2x1 + x₂₁-₂ ≤ 1,2x1 - x₂ ≥ 1,2x1 + 2x2 ≥ 4,I1, I₂ 201 + 2x2-₁ + 2x₂ ≤ 6,1+ 3x2 ≤ 12,I1, I₂ 20

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Answered: For each of the following programs: (1)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? P(x)= -.5x2+15x+4700 P'(x)= -x+15 p"(x)= -1 < 0 SENSITIVITY ANALYSIS: (This is the part I am a bit uncertain about. The questions below.) Any help is much appreciated. 1. Preform a sensitivity analysis of the optimal time to sell versus the variable cost to raise a unicorn (harness still $100). 2. So if the actual variable cost was $4.00 per day instead of $5.00 (20% decrease), what would you estimate for the best time to sell based on your sensitivity results? 3. Finally, substitute $4.00 for the variable…

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