Electricity tariffs

To figure out the pricelists of energy companies is difficult for the ordinary person. One must be on guard e.g. when one moves and thus somewhere sharply reduces the consumption of electricity and somewhere else sharply raises the consumption of electricity.

Simplified speaking, for electricity one pays a fixed monthly fee regardless of consumption (colloquially for the hours) and then a price for electricity for each kilowatt-hour.

E.g. electricity in the year 2020:
in the rate (tariff) DD1 costs 2.47 Eur + 0.1766 Eur/kWh
in the rate (tariff) DD2 costs 5.99 Eur + 0.14 Eur/kWh

Rate DD1 is designed for small households, rate DD2 is designed for larger households. You see that the price is a non-linear function of consumption.

Calculate the amount of electricity needed to be consumed monthly for rate DD2 to be more advantageous.

Final Answer:

x =  96.1749 kWh

Step-by-step explanation:

$$\begin{gathered} 2.47+0.1766\cdot x=5.99+0.14\cdot x \\ 0.0366x=3.52 \\ x=\frac{3.52}{0.0366}=96.17486339 \\ x=96.174863=96.1749\text{kWh} \end{gathered}$$

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