Final answer:
To find the break-even point, we set the cost equation equal to the revenue equation and solved for n. The break-even point occurs at approximately 7216 units.
Step-by-step explanation:
To find the break-even point for the given cost and revenue equations, we set the cost equation C equal to the revenue equation R and solve for n.
The cost equation is: C = 94n + 534,000
The revenue equation is: R = 168n
At the break-even point, C = R:
94n + 534,000 = 168n
To solve for n, we subtract 94n from both sides:
534,000 = 168n - 94n
534,000 = 74n
Now we divide both sides by 74:
n = 534,000 / 74
n ≈ 7216 (rounded to the nearest whole unit)
Therefore, the break-even point is approximately 7216 units.