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.

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4) 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 + 3m?/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.
Transcribed Image Text:4) 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 + 3m?/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.
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