Numerical analysis and numerical methods are also applicable in field of finance and marketing. Revenues, costs, and profits can be represented as equations. An example, it costs a firm D(m) dollars to produce m grams per day of a certain chemical, where D(m) = 1000 + 2m + 3m2/3 For its revenue, the firm can sell any amount of the chemical at $4 a gram. Find the break-even point (the point when revenue is equal to cost) of the firm, that is, how much it should produce per day in order to have neither a profit nor a loss. Find the true value and give the answer to the nearest gram by using the a) False-position Method and iterate until the approximate error falls below 0.05% or the number of iterations exceeds 5. Take m to range from 500 to 1000. b) Secant Method and iterate until the approximate error is at 0% or the number of iterations exceeds 10. Take m to range from 400 to 8000.

Numerical analysis and numerical methods are also applicable in field of finance and marketing. Revenues, costs, and profits can be represented as equations. An example, it costs a firm D(m) dollars to produce m grams per day of a certain chemical, where D(m) = 1000 + 2m + 3m2/3 For its revenue, the firm can sell any amount of the chemical at $4 a gram. Find the break-even point (the point when revenue is equal to cost) of the firm, that is, how much it should produce per day in order to have neither a profit nor a loss. Find the true value and give the answer to the nearest gram by using the a) False-position Method and iterate until the approximate error falls below 0.05% or the number of iterations exceeds 5. Take m to range from 500 to 1000. b) Secant Method and iterate until the approximate error is at 0% or the number of iterations exceeds 10. Take m to range from 400 to 8000.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 3GP

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Similar questions

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.

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