A certain disease can be treated by administering at least 70 units of drug C, but that level of medication sometimes results in serious side effects. Looking for a safer approach, a physician decides instead to use drugs A and B, which result in no side effects as long as their combined dosage is less than 60 units. Moreover, she determines that when x units of drug A and y units of drug B are administered to a patient, the effect is equivalent to administering E units of drug C, where E = 0.05(xy − 2x² − y² + 95x + 20y) What dosages of drugs A and B will maximize the equivalent level E of drug C? If the physician administers the optimum dosages of drugs A and B, will the combined effect be enough to help the patient without running the risk of side effects?