Can you help me with this by showing all the steps. Thank you A gasoline station can sell 10,000 gallons of gas per day at a price of $3.95 per gallon. The station manager estimates that for each $0.05 price reduction per gallon, 500 more gallons of gasoline can be sold each day. The cost per gallon of gas to the station is $2.75. Find the price at which the station should sell a gallon of gasoline to maximize its daily profit on gasoline sales.

Question

Can you help me with this by showing all the steps. Thank you

A gasoline station can sell 10,000 gallons of gas per day at a price of $3.95 per gallon. The station manager estimates that for each $0.05 price reduction per gallon, 500 more gallons of gasoline can be sold each day. The cost per gallon of gas to the station is $2.75. Find the price at which the station should sell a gallon of gasoline to maximize its daily profit on gasoline sales.