Gas prices 2021

According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows:

D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes over time as the ratio of natural gas components in wells/wells changes).

D2 - heating. The fixed is EUR 6.91/month, and the variable component is EUR 0.0355/kWh.

A. Calculate the limit value of consumption in kWh, at which the price for gas supply is the same in rates D1 and D2. For example, below this consumption, it pays to be D1. If it is higher, the rate D2 pays off.

B. Since the gas meter measures the volume of natural gas consumed in cubic meters, convert this value to m³ as well.

C. Calculate how many times electricity is more expensive than energy in gas.
at the rate (tariff) DD1 costs 2.47 Eur + 0.1766 Eur/kWh
at the rate (tariff) DD2 costs 6.36 Euros + 0.138 Euros/kWh


The example arose in the autumn of 2021 in response to the sharp rise in gas prices (300-700%) on the spot market due to its shortage and the pressure of money by the central bank of the ECB, the Fed, and the suspicion of a harsh winter. Other factors are the shift from dirtier coal to electricity generation from gas, the closure of atoms, and steady wind - low wind farm production.

Correct answer:

x =  287.9032 kWh
x₂ =  27.2765 kWh
c =  3.7871

Step-by-step explanation:

$$\begin{gathered} 3.34+0.0479\cdot x=6.91+0.0355\cdot x \\ 0.0124x=3.57 \\ x=\frac{3.57}{0.0124}=287.90322581 \\ x=\frac{8925}{31}\doteq 287.903226=287.9032\text{kWh} \end{gathered}$$

$x_2=x/10.555=287.9032/10.555=27.2765\text{kWh}$

$$\begin{gathered} c_1=0.1766/0.0479=\frac{1766}{479}=3\frac{329}{479}\doteq 3.6868 \\ {c}_2=0.138/0.0355=\frac{276}{71}=3\frac{63}{71}\doteq 3.8873 \\ c=(c_1+c_2)/2=(3.6868+3.8873)/2=3.7871 \end{gathered}$$

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