• Formulate the problem as an LP.• Write the dual LP.• Derive the units on the dual variables and give an eco-nomic interpretation of the solution to the dual LP.• Solve the primal LP using tableaux or Vanderbei's pivot tool.' Atthe start and after each iteration, give the following information:The primal basic solution.The corresponding dual basic solution.You should find an optimum after two iterations.The economic interpretation of the dual solu-tion.Mixing problem. The R. H. Lawn Products Co. has available 80 metric tons ofnitrate and 50 metric tons of phosphate to use in producing its three types offertilizer during the coming week. The mixture ratios and profit figures aregiven in the accompanying table. Determine how the current inventory shouldbe used to maximize the profit.Metric tons / 1000 bagsProfit($/1000 bags)NitratePhosphateRegular lawnSuper lawnGarden430045004002 322.

Answered: Image /qna-images/answer/39e4ffce-3c8e-4297-a161-80e2aa0c3010.jpg

Answered: • Formulate the problem as an LP. •…

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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Part1)An airplane carries water and medical kits to survivors of a natural disaster. The plane can carry a maximum payload of 80,000 pounds. Each container of water weighs 20 pounds, and each medical kit weighs 10 pounds.The cargo space holds a maximum of 6000 cubic feet of cargo. Graph these constraints on the grid provided, and write some units on the axes. Assume each container has a volume of 1 cubic foot. Part2)If each container of water serves 10 people and each medical kit aids 6 people, find the number of water containers and medical kits that could help the most people
Using the 2-Phase method, work through the simplex method step-by-step to solve the problem. Construct the artificial problem using slack/surplus/artificial variables.
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 7 cost of $56,048 and a variable cost per unit of XL7510 equal to 214 + - dollars, where is the total number of XL7510s produced. 10 Suppose further that the selling price of this product is 1180 The -values of the break-even points are The maximum revenue is Form the profit function: P(x) = The maximum profit is The price that will maximize profit is 3 10 - dollars per unit of XL7510. dollars (round to the nearest cent) dollars (round to the nearest cent)
Maximize 54 - x - y, subject to the constraint x+ 7y - 50 = 0. The maximum value of 54 - x - y subject to the constraint x+ 7y - 50 = 0 is. (Type an exact answer in simplified form.)
2.3 Question#03 Please provide detailed solution with explanation and justification asap to get a upvote
Point A// For the following LP model, determine the optimal solution using the .simplex method Max 50x₁ + 40x2 s.t. Assembly time Portable display Warehouse capacity 3x₁ + 5x₂ 150 1x₂20 8x₁ + 5x₂ ≤ 300 X₁, X₂ ≥ 0
Justify your answer using complementary slackness and if given solution is optimal give the optimal solution to the dual too

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