The Paper Considers the Change of an Economic System from Non Renewable to Unlimited Energy. the Hotelling Theorem Indicates Extracting a Non Renewable Aid In an Ideal Manner Like the Source Has a Tendency to Be Exhausted When Optimally Extracted. Nevertheless, It May Not Be Sensible to Deplete Non-Renewable Sources of Energy That Create Externalities Including Global Warming and Co2 Emissions. the Newspaper Sets Up a Canonical Development Type With Damages In the Household's Welfare Performance As Well As 2 Sources of Energy - Renewable and Non-Renewable Energy.