Question

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C(x) = x + 4.
Find the profit function. Show all work and give the profit function.

Answer 1

Answer:

Step-by-step explanation:

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars.

$R(x) = -x^2 + 6x,\\ C(x) = x + 4.$

Profit function = Revenue  - cost

So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

Profit function of x

= $Pr(x) = R(x) -C(x)\\= -x^2+6x-x-4\\=-x^2+5x-4$