where x is the number of units.
a.) Determine Coastal's total revenue and profit function
b.) What profit-maximizing price per soda should Coastal charge, how many sodas per day would it expect to sell at this price, and what would be the daily profits?
c.) If the festival organizers wanted to set an economically efficient price of $1.25 per soda, how would this change the results from part (b)? Would Coastal be willing to provide sodas for the festival at this regulated price? Why or why not?