Beth Zion Hospital has received initial certification from the state of Californ
ID: 2748134 • Letter: B
Question
Beth Zion Hospital has received initial certification from the state of California to become a center for liver transplants. The hospital, however, must complete its first 10 transplants under great scrutiny and at no cost to the patients. The costs per hour of surgery is estimated to be $5,200.00 The very first transplant, just completed, required 32 hours. On the basis of research at the hospital, Beth Zion estimates that it will have an 85% learning curve.Using the table, Estimate the time it will take to complete:
(a) The 5th liver transplant.
(b) the first 5 transplants.
(c) The 10th transplant
(d) the first 10 transplants.
in hours please
75% 80% 85% Unit Number (N) Unit Time Total Time Unit Time Total Time Unit Time Total Time 10 .385 5.589 .477 6.315 .583 7.116Explanation / Answer
Tn = T1 * n^b
where,
Tn = time for nth unit
T1 = time for 1st unit
b = ln(learning percentage/100)/ln(2)
(a) The 5th liver transplant will take time T5,
T5 = T1 * 5^b
b = ln(0.85)/ln(2) = -0.234465
T5 = 32 * 5^(-0.234465) = 21.94 22 hours
Now let's calculate for each transplant:
T2 = 32 * 2^(-0.234465) = 27.20
T3 = 32 * 3^(-0.234465) = 24.73
T4 = 32 * 4^(-0.234465) = 23.12
T6 = 32 * 6^(-0.234465) = 21.02
T7 = 32 * 7^(-0.234465) = 20.27
T8 = 32 * 8^(-0.234465) = 19.65
T9 = 32 * 9^(-0.234465) = 19.11
T10 = 32 * 10^(-0.234465) = 18.65
(b) the first 5 transplants = T1 + T2 + T3 + T4 + T5 = 128.99 129 hours
(c) The 10th transplant = T10 = 18.65 19 hours
(d) the first 10 transplants = T1 + T2 + T3 + T4 + T5+ T6 + T7 + T8 + T9 + T10 = 227.69 228 hours
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.