hotel operating with a capacity of $300$ similar rooms, decides five fare classes for taking bookings during Christmas week due to the high demand. The Demand $($normally distributed$)$ and standard deviation for the fare class are given as follows.

Fare

Class

Price

Mean demand

Standard deviation

$1$

$12000$

$25$

$5$

$2$

$10000$

$15$

$15$

$3$

$5500$

$40$

$30$

$4$

$2500$

$55$

$20$

$5$

$1500$

What should be the protection levels for the classes, using EMSR$-$b$,$ Also compare the results with that of EMSR$-$a