1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use letters’ w, x, y, z as your basic variables) DeliveredOptimal Through Put for each Crudeprice pergallon(pesos)CrudeRegulargasolineHigh-testgasolineDiesel fuelFuel oil30%20%10%30%20%10%Oklahoma710%40%TexasWyomingPennsylvaniaRequirements Gallons10%60%30%20%60%50%2,0001,5002,8003,300o59

The following steps are used to find the solution of the linear programming problem by simplex…

Answered: Optimal Through Put for each Crude…

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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b) Give an example of an augmented matrix in reduced row echelon form which corresponds to the following images. (i) (ii)
3) Design high gain observer for the nonlinear system. 1 x₁ = x₂ 2 2 x₂ = x²+x²+4 X2² following
Consider the following system of equations: y1 = Bo + B1x11 + Bzx12 Y2 = Bo + B1x21 y3 = Bx31 + B2x32 + B3x33 y4 = Bo + B1X41 + B2x42 + B3X43 ys = Bo + B2Xs2 + BzXs3 Convert this system of equations into matrix form. (Hint: Your response should look like Y = XB)
here are the next 3 questions related to the problem
6. Suppose the augmented matrices below correspond to either a system of linear equa- tions in 2 variables (x, y) or system of linear equations in 3 variables (x, y,z). These matrices may or may not be in RREF. You you need to in order to determine the solutions. NOT need to put them into RREF unless What are the solutions to the system? If there are solutions, please write your answer as (x, y) or (x, y,z). If there are infinitely many solutions, please write your point in terms of one variable (you may choose the variable). 1 0 0 1 -7 0 0 2 (a) 1 -6 1 0 0 0 1 0-4 0 0 1 9 (b) 9 1 0 (c) 0 1 -4 0 0 1 0 -4 (d) 0 1 -3 1 5 7 0 0 0 0 0 0 (e)
Example 5.1 Find the dependent and independent variables of the following system 0. + 3x2 201 + 6x2 2.x3 5x3 + 2x5 2.x4 + 4x5 3x6 -1 + 15x6 8x4 + 4x5 + 18x6 5x3 + 10x4 +. 2.x1 + 6x2 9. Solution
Warehouse 1 locate at coordinate (200, 60) and has a daily outbound goods volume of 2,500 units Warehouse 2 locates at coordinate (100,100) and has a daily outbound goods volume of 1,500 units Warehouse 3 locates at coordinate (120, 80) and has a daily outbound goods volume of 5,000 units Warehouse 4 locates at coordinate (170, 60) and has a daily outbound goods volume of 7,000 units Suppose your company wants to expand its logistics network and locate a distribution center within a network of four existing facilities. What should the coordinates for the distribution center be?
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: z = 100p-75,0.25 Chemical P costs $100 a unit and chemical R costs $700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units

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Optimal Through Put for each Crude Delivered price per gallon (pesos) Crude Regular gasoline High-test gasoline Diesel fuel Fuel oil 20% 10% 60% Oklahoma 30% 10% 20% 10% 30% 40% 60% 30% 20% Texas 10% Wyoming Pennsylvania Requirement s Gallons 9 50% 2,000 1,500 2,800 3,300