Question

Drag each value to the correct location on the equation. Not all values will be used.

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.

Answer 1

`P(x) = -0.32x² + 200x + (-52)` is the answer.

Explanation:

Let "
`x`" be the number of units sold.

We'll have to determine the function
`P(x)` for daily profit.

We know that:

Profit = Revenue - cost

so,
`P(x) = R(x) - C(x)`

`P(x) = (-0.32x²+ 270x) - (70x + 52)`

`= -0.32x^(2) + 270x - 70x - 52`

`P(x) = -0.32x^(2)  + 200x - 52`

We'll get our answer as :
`P(x) = -0.32x² + 200x + (-52)`