Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x)=86x+3080, R(x)+108x
just set R(x) = C(x) and solve for x.
To find the number of units x that must be sold to break even, we need to equate the cost and revenue functions.
Given:
Cost function: C(x) = 86x + 3080
Revenue function: R(x) + 108x
To find break-even, we set the cost equal to the revenue:
86x + 3080 = 108x
To solve this equation, we will isolate the variable x on one side:
Subtracting 86x from both sides:
3080 = 108x - 86x
Simplifying:
3080 = 22x
Now, divide both sides by 22:
3080 / 22 = x
To get the value of x:
x = 140
Therefore, the number of units x that must be sold to break even is 140.