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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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)
Consider a linear system whose augmented matrix is
To infer the surface shape of an object from images taken of a surface from three different directions, one needs to solve the following set of equations. 41 1 14-2 X2 = 4 32 -4 x3 4 The right hand side values are the light intensities from the middle of the images, while the coefficient matrix is dependent on the light source directions with respect to the camera. The unknowns are the incident intensities that will determine the shape of the object. Find the values of x,, x, and x3 using LU decomposition assuming u1=u22=U;3=1.
Choose a different cost vector c so the Ph.D. gets the job. Rewrite the dual problem (maximum income to the cheater).
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) Determine the pivot row and optimum column
Kindly help me to answer this MATRICES AND SYSTEMS OF LINEAR EQUATIONS 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)
2. Suppose that the rref of an augmented matrix of a linear system results as 1 0 1 13 0 1 0 21 000 00 (a) What are the leading variables? (b) What are the free variables? (c) What is the corresponding system of equations in terms of the free variables. (d) Write the solutions in vector form.
Could a 4x7 matrix have dim Col A=5 and dim Nul A = 2? Justify your answer. Remember to think about the possible pivots in rows and columns.
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