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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

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MrRoyal

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

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