(b) To find the daily optimum production number of Portland cement in a factory, one needs to solve the following equations based on the ingredient of cement. The unknowns are lime, x1; silica, x2; alumina, x3; and iron oxide, X4. 10x₁x₂ + 2x3 = 6 - -X₁ + 11x₂x3 + 3x4 = 25 2x₁ - x₂ + 10x3 - X4 = -11 3x₂x3 + 8x4 = 15 Use the Gauss-Seidel iterative technique to find approximate solutions to X₁, X2, X3, and x4. Starting with x = (0, 0, 0, 0) and iterating until max{|x (k+1)-x(k)|} <ε = 0.0005
(b) To find the daily optimum production number of Portland cement in a factory, one needs to solve the following equations based on the ingredient of cement. The unknowns are lime, x1; silica, x2; alumina, x3; and iron oxide, X4. 10x₁x₂ + 2x3 = 6 - -X₁ + 11x₂x3 + 3x4 = 25 2x₁ - x₂ + 10x3 - X4 = -11 3x₂x3 + 8x4 = 15 Use the Gauss-Seidel iterative technique to find approximate solutions to X₁, X2, X3, and x4. Starting with x = (0, 0, 0, 0) and iterating until max{|x (k+1)-x(k)|} <ε = 0.0005
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter5: Exponents And Radicals
Section5.5: Equations Involving Radicals
Problem 4CQ
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