Find the sales necessary to break even
(R = C)
when the cost C of producing x units is
C = 2.24x + 6100
and the revenue R from selling x units is
R = 3.49x.
set R=C and solve for x. So,
2.24x+6100 = 3.49x
again.
4880 Thank you
To find the sales necessary to break even, we need to equate the cost and the revenue.
The cost equation is given as C = 2.24x + 6100.
The revenue equation is given as R = 3.49x.
We can set R equal to C and solve for x.
3.49x = 2.24x + 6100
Subtract 2.24x from both sides:
3.49x - 2.24x = 6100
Combine like terms:
1.25x = 6100
Divide both sides by 1.25 to solve for x:
x = 6100 / 1.25
x = 4880
So, to break even, the sales necessary would be 4880 units.
To find the sales necessary to break even, we need to equate the cost (C) to the revenue (R), since at the break-even point, the sales cover all the costs and there is no profit or loss.
Given the cost equation:
C = 2.24x + 6100
And the revenue equation:
R = 3.49x
We'll set C equal to R and solve for x.
2.24x + 6100 = 3.49x
To isolate the variable x, we can subtract 2.24x from both sides of the equation:
6100 = 1.25x
Next, we'll divide both sides of the equation by 1.25:
6100/1.25 = x
x ≈ 4880
Therefore, at the break-even point, you will need to sell approximately 4880 units.