You are working for 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, n to be sold after considering the total costs and the total sales is
f(n)=40n^1.5-875n+35000=0
Use the Newton-Raphson 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 equations. Find the absolute relative approximate error at the end of each iterations and the number of significant digits at least correct at the end of each iteration.
Solution:
f(n) = 40n^1.5-875n+35000
f'(n) = 60n^0.5-875