Find the break-even point for the firm whose cost function C and revenue function R are given.

C(x) = 14x + 9,000; R(x) = 23x

(x, y) = (_________)

it's when

R(x) = C(x)
23x = 14x+9000

Now just solve for x, then evaluate y.

To find the break-even point, we need to find the value of x where the cost and revenue are equal.

Setting C(x) = R(x), we have:

14x + 9,000 = 23x

To solve for x, we can subtract 14x from both sides of the equation:

9,000 = 9x

Dividing both sides by 9:

x = 1,000

Therefore, the break-even point for the firm is (1,000, _________).

To find the break-even point for the firm, we need to determine the value of x at which the cost function (C) is equal to the revenue function (R).

First, set the cost function equal to the revenue function:

14x + 9,000 = 23x

Next, isolate the variable x. We can subtract 14x from both sides of the equation:

9,000 = 9x

Now, divide both sides of the equation by 9 to solve for x:

x = 1,000

So the break-even point for the firm is when x = 1,000.

Therefore, the coordinates (x, y) of the break-even point are (1,000, y). We don't have a specific value for y in this case, as it depends on the unit price or sales volume.