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.