How much should the food truck charge per hotdog to maximize daily revenue? What is the maximum daily revenue?

Question

A food truck sells 60 hot dogs each day when it charges $4.00 per hot dog. For a $0.25 decrease in price, the food truck sells 5 more hot dogs.

Answer 1

If the food truck sells 60 hot dogs at price $4, revenue= 60*4=240

For a decrease in 0.25 , it sells 5 more hot dogs so 65* 3.75 = 243.75

for a decrease in 0.50 in price , it can sell 10 more hotdogs so 70*3.5 = 245

for a decrease in 0.75 in price , it can sell 15 more hot dogs so 75*3.25 = 243.75

so if each hotdog is sold at 3.50, then its maximum revenue