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A company sells lab equipment. The daily revenue and costs are modeled by the functions below where x is the number of units sold.

Revenue: R(x)= -0.32x^2 + 270x
Cost: C(x)= 70x+52

Determine the function representing the total daily profit, P(x), after selling x units.

(blank options)

340
-52
200
0.32
52
-0.32

P(x)= *blank* x^2+ *blank* x+ *blank*

You probably won't get to me on time but this question is asked for future plato students who need help too.

Respuesta :

Answer:

[tex]P(x) = -0.32x² + 200x + (-52)[/tex] is the answer.

Step-by-step explanation:

Let "[tex]x[/tex]" be the number of units sold.

We'll have to determine the function [tex]P(x)[/tex] for daily profit.

We know that:

Profit = Revenue - cost

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

     [tex]P(x) = (-0.32x²+ 270x) - (70x + 52)[/tex]

              [tex]= -0.32x^{2} + 270x - 70x - 52[/tex]

     [tex]P(x) = -0.32x^{2}  + 200x - 52[/tex]

We'll get our answer as :[tex]P(x) = -0.32x² + 200x + (-52)[/tex]

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