The revenue R from selling x number of phone widgets is given by
R
=
32
x
R=32x, and the cost C of producing those widgets is given by
C
=
22
x
+
1830
C=22x+1830. Find the number of widgets it requires to break even.
naturally, when cost = revenue:
32x = 22x+1830
10x = 1830
x = 183
To find the number of widgets required to break even, we need to find the point at which the revenue (R) equals the cost (C). This point indicates that the company is not making a profit or loss.
Given the revenue function:
R = 32x
And the cost function:
C = 22x + 1830
To find the number of widgets required to break even, we set R equal to C and solve for x:
32x = 22x + 1830
First, subtract 22x from both sides to isolate the x term:
10x = 1830
Next, divide both sides by 10 to solve for x:
x = 1830 / 10
x = 183
Therefore, the number of widgets required to break even is 183.