To: OldAIMGuy who wrote (5343 ) 2/3/2025 12:44:20 PM From: longz 1 RecommendationRecommended By OldAIMGuy
Read Replies (2) | Respond to of 5709 Tom ===>> From ChatGPT AI ===>> To compare gas mileage (MPG) vs. electric vehicle efficiency (MPGe or kWh per mile) and calculate the payback period in miles and electricity costs , we can use the following formulas:Payback in Miles (Break-even Mileage) This formula calculates how many miles you need to drive for the EV to offset its higher upfront cost compared to a gas vehicle. Break-even Miles=EV Cost-Gas Car Cost(Miles per Gallon×Gas PriceMiles Driven-Miles DrivenMiles per kWh×Electricity Price)\text{Break-even Miles} = \frac{\text{EV Cost} - \text{Gas Car Cost}}{\left( \frac{\text{Miles per Gallon} \times \text{Gas Price}}{\text{Miles Driven}} - \frac{\text{Miles Driven}}{\text{Miles per kWh} \times \text{Electricity Price}} \right)}Break-even Miles=(Miles DrivenMiles per Gallon×Gas Price?-Miles per kWh×Electricity PriceMiles Driven?)EV Cost-Gas Car Cost?Where:EV Cost = Initial purchase price of the EVGas Car Cost = Initial purchase price of the gas vehicleMiles per Gallon (MPG) = Fuel efficiency of the gas vehicleGas Price = Cost per gallon of gasolineMiles per kWh = Efficiency of the EV (miles per kilowatt-hour)Electricity Price = Cost per kWhPayback in Electricity Cost Savings To calculate how much an EV saves in fuel costs per mile: Savings per Mile=Gas PriceMPG-Electricity PriceMiles per kWh\text{Savings per Mile} = \frac{\text{Gas Price}}{\text{MPG}} - \frac{\text{Electricity Price}}{\text{Miles per kWh}}Savings per Mile=MPGGas Price?-Miles per kWhElectricity Price?To find the miles needed to break even on cost difference: Break-even Miles=EV Premium CostSavings per Mile\text{Break-even Miles} = \frac{\text{EV Premium Cost}}{\text{Savings per Mile}}Break-even Miles=Savings per MileEV Premium Cost?Example Calculation Assume:EV Cost: $40,000 Gas Car Cost: $30,000 (so, EV premium is $10,000) Gas Car MPG: 30 mpg Gas Price: $3.50 per gallon EV Efficiency: 4 miles per kWh Electricity Price: $0.15 per kWh Step 1: Cost per mile Gas Car: $3.50 / 30 mpg = $0.1167 per mile EV: $0.15 / 4 miles per kWh = $0.0375 per mile Savings per mile: $0.1167 - $0.0375 = $0.0792 per mile Step 2: Break-even Mileage Break-even Miles=10,0000.0792=126,262 miles\text{Break-even Miles} = \frac{10,000}{0.0792} = 126,262 \text{ miles}Break-even Miles=0.079210,000?=126,262 milesSo, at 126,262 miles , the EV saves enough in fuel costs to offset the higher purchase price. Would you like an interactive calculator for this? ???