Let's make Mountain Dew!
https://www.amazon.com/Pepsi-Mountain-Dew-5-gallon/dp/B00C6RZYU6
5 gallons of syrup are available for $165
The recommended ratio is 5 parts water to 1 part syrup.
5 gallons of syrup is 18.9 liters.
1 liter of SodaStream made Mountain Dew requires 0.1667 liters of syrup, costing $1.45.
y = 0.25x + 1.45x + 18
0.25x + 1.45x + 18 = 0.8x
And there is no break-even point. SodaStream is always more expensive.
At 37.7 liters, canned soda costs $30.16 and SodaStream soda has cost $82.09 in total.
After a year of drinking at this rate, we would have spent $177 on our Mountain Dew habit buying cans. Our SodaStream experiment has cost us $394.
If we somehow got access to restaurant pricing for 5-gallon syrups, we could save almost half on our syrup costs, but we would still be spending more than $1.00 per liter to make Mountain Dew.