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AN Calculators can be purchased for the upcoming end-of-course exam. The revenue function can be modeled as RAN (3) = (25 10x) (300 - 36x) where x is the price of the calculator. MN Calculators can also be purchased for the upcoming exam. The revenue function can be modeled as RuN (x) = (100 20x) (100 - 12x) where x is the price of the calculator. Determine the price of each calculator where the revenue of AN Calculators and MN Calculators are the same.

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MrRoyal

The revenue functions of the calculator companies is the difference between their cost and profit functions

The price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

How to determine when the prices are the same

The revenue functions are given as:

RAN (x) = (25 + 10x) (300 - 36x)

RMN (x) = (100+ 20x) (100 - 12x)

When the prices are the same, we have:

RAN (x) = RMN (x)

So, we have:

[tex](25 + 10x) (300 - 36x) = (100+ 20x) (100 - 12x)[/tex]

Divide through by 20

[tex](5 + 2x) (75 - 9x) = (10+ 2x) (50 - 6x)[/tex]

Using a graphing calculator, we have the following value of x

x = 2.5

Hence, the price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

Read more about revenue functions at:

https://brainly.com/question/19104371

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