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 $18$ transplants under great scrutiny and at no cost to the patients. The very first transplant, just completed, required $30$ hours. On the basis of research at the hospital, Beth Zion estimates that it will have an $75\%$ learning curve. Using Table E$.3,$ estimate the time it will take to complete:

a$)$ the $5$ th transplant $15\mathrm{.}38$ hours

$($round your response to two decimal places$).$

b$)$ the first $5$ transplants $103\mathrm{.}78$ hours $($round your response to two decimal places$).$

c$)$ the $18$ th transplant $$ hours $($round your response to two decimal places$).$

Learning Curve Coefficients

$\backslash$table$[[,75\%,80\%,85\%$