mws_ind_nle_txt_bisection_examples

# mws_ind_nle_txt_bisection_examples - Chapter 03.03...

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Chapter 03.03 Bisection Method of Solving a Nonlinear Equation– More Examples Industrial Engineering Example 1 You are working for a start-up computer assembly company and have been asked to determine the minimum number of computers that the shop will have to sell to make a profit. The equation that gives the minimum number of computers to be sold after considering the total costs and the total sales is n 0 35000 875 40 ) ( 5 . 1 n n n f Use the bisection method of finding roots of equations to find the minimum number of computers that need to be sold to make a profit. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. Solution Let us assume 100 , 50 u n n Check if the function changes sign between and . n u n 1 . 5392 35000 ) 50 ( 875 ) 50 ( 40 50 ) ( 5 . 1 f n f 12500 35000 ) 100 ( 875 ) 100 ( 40 ) 100 ( ) 5 . 1 f f(n u Hence  0 12500 1 . 5392 100 50

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