The problem describes a company's electricity pricing for non-extreme weather months. The pricing structure is tiered: - For usage up to 1200 kWh, the charge is $7.10 plus 6.747 cents per kWh. - For usage above 1200 kWh, the charge is $88.064 plus 4.788 cents per kWh for the amount exceeding 1200 kWh. The task is to calculate the monthly charge for 1440 kWh of usage.

1. Problem Description

The problem describes a company's electricity pricing for non-extreme weather months. The pricing structure is tiered:

- For usage up to 1200 kWh, the charge is $7.10 plus 6.747 cents per kWh.

- For usage above 1200 kWh, the charge is $88.064 plus 4.788 cents per kWh for the amount exceeding 1200 kWh.

The task is to calculate the monthly charge for 1440 kWh of usage.

2. Solution Steps

First, we need to determine which pricing tier applies to 1440 kWh. Since 1440 > 1200, we will use the second pricing tier. The formula for this tier is $88.064 + 0.04788(x - 1200)$, where $x$ is the kWh usage.

We are given $x = 1440$. Plug this into the formula:

$Charge = 88.064 + 0.04788(1440 - 1200)$

$Charge = 88.064 + 0.04788(240)$

$Charge = 88.064 + 11.4912$

$Charge = 99.5552$

Rounding the charge to two decimal places, we get $99.56$.

3. Final Answer

$99.56