The cost per day of running a hospital is 200, XXXXXXXXXX5x 2 dollars, where x is the number of patients served per day. What number of patients served per day minimizes the cost per patient per day...

The cost per day of running a hospital is 200,000 + 0.5x²
dollars, where x is the number of patients served per day. What number of patients served per day minimizes the cost per patient per day of running the hospital if the hospital’s daily capacity is 300 patients? How does the solution change as the hospital’s capacity increases? Let capacity increase from 300 to 500 in increments of 25.