Final answer:
The break-even point for the given cost and revenue equations, after setting the equations equal to each other and solving for n, is 957 units when rounded to the nearest whole unit.
"The correct option is approximately option 4"
Step-by-step explanation:
The student's question involves finding the break-even point for a given set of cost and revenue equations. The break-even point occurs where the cost and revenue are equal. The cost equation is c = 20n + 134,000, and the revenue equation is r = 160n.
To find the break-even point, we set the cost equal to the revenue:
20n + 134,000 = 160n
Solving for n, we subtract 20n from both sides to get:
134,000 = 140n
Next, we divide both sides by 140 to isolate n:
n = 134,000 / 140
Calculating this, we get:
n ≈ 957.14
Since the problem asks us to round to the nearest whole unit, the break-even point is at 957 units.