Touhy Surgery Center (TSC) specializes in eye and foot surgeries. Their three operating rooms provide them with 36 hours per day of operating time. In addition, their nursing staff provides 48 hours of day for nurse time and they have contracted with three anesthesiologists for 24 hours per day of anesthesiologist time. The eye and foot surgeons are independent providers who are paid directly by the patients and their insurance providers. TSC calculates that each eye surgery consumes 1 hour of operating room time, 1 hours of nursing time and 3/4 hour of anesthesiologist time with a marginal contribution of $700 per surgery. TSC calculates that each foot surgery consumes 3/4 hour of operating room time, 1.5 hours of nursing time and one-half hour of anesthesiologist time with a marginal contribution of $500 per surgery. TSC would like know what should be their optimal mix of eye and foot surgeries each day. Give a linear program that will provide TSC with their optimal product mix. For decision variables, use E = the number of eye surgeries and F = the number of foot surgeries for each day.
Touhy Surgery Center (TSC) specializes in eye and foot surgeries. Their three operating rooms provide them with 36 hours per day of operating time. In addition, their nursing staff provides 48 hours of day for nurse time and they have contracted with three anesthesiologists for 24 hours per day of anesthesiologist time. The eye and foot surgeons are independent providers who are paid directly by the patients and their insurance providers. TSC calculates that each eye surgery consumes 1 hour of operating room time, 1 hours of nursing time and 3/4 hour of anesthesiologist time with a marginal contribution of $700 per surgery. TSC calculates that each foot surgery consumes 3/4 hour of operating room time, 1.5 hours of nursing time and one-half hour of anesthesiologist time with a marginal contribution of $500 per surgery. TSC would like know what should be their optimal mix of eye and foot surgeries each day.
Give a linear program that will provide TSC with their optimal product mix. For decision variables, use E = the number of eye surgeries and F = the number of foot surgeries for each day.
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