If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by  R(x) = 150x − x2,  find the maximum revenue and maximum profit (in dollars) for the given functions. maximum revenue$ maximum profit$

An outpatient operating room charges each patient a fixed amount per surgery plus an amount per minute for use. One patient was charged 250 for a 30-minute surgery and another patient was charged 450 for a 90-minute surgery. Determine the linear function that would be used to compute the charges. Use the function to determine the charge when a patient has a 45-minute surgery.