Question 1181228
Here's how to calculate ZV Corp's monthly penalty using the weighted arithmetic mean:

1. **Calculate the weighted average mpg:**

The weighted average mpg is calculated by multiplying each vehicle type's mpg by its proportion of total vehicles and then summing those results.

*   Total vehicles: 230 (A) + 500 (B) + 70 (C) = 800 vehicles

*   Weight of A vehicles: 230/800 = 0.2875
*   Weight of B vehicles: 500/800 = 0.625
*   Weight of C vehicles: 70/800 = 0.0875

Weighted average mpg = (0.2875 * 10) + (0.625 * 20) + (0.0875 * 40)
Weighted average mpg = 2.875 + 12.5 + 3.5
Weighted average mpg = 18.875 mpg

2. **Calculate the mpg deficit:**

Deficit = Standard mpg - Weighted average mpg
Deficit = 30 mpg - 18.875 mpg
Deficit = 11.125 mpg

3. **Calculate the total penalty:**

Penalty = $55 * Total vehicles * Deficit
Penalty = $55 * 800 * 11.125
Penalty = $489,500

Therefore, if the government incorrectly uses the weighted arithmetic mean, ZV Corp's monthly penalty would be $\boxed{489,500}$.