QUESTION FOUR $[15$ MARKS$]$

a$)$ On Point Petrol Station has one pump for regular unleaded petrol, which $($with an attendant$)$ can

service $8$ customers per hour. Cars arrive at the regular unleaded pump at a rate of $5$ per hour.

Determine;

i$.$ Average queue length

ii$.$ Average time a car is in the system

iii. Average time a car must wait

b$)$ Give Two examples where simulation can be used in business.

c$)$ Explain the difference between transportation and assignment problem

d$)$ Outline any two assumptions made when solving a transportation problem

e$)$ Briefly explain the steps involved in carrying out Monte Carlo simulation.

$[2$ Marks$]$

$[2$ Marks$]$

$[3$ Marks$]$

$[2$ Marks$]$

$[2$ Marks$]$

$[2$ Marks$]$

$[2$ Marks$]$