Question $4$

a$.$ In a production system with three stages, Stage $1$ can process $200$ units per hour, Stage $2$ can process $150$ units per hour, and Stage $3$ can process $180$ units per hour. If Stage $2$ is upgraded to process $220$ units per hour, what is the new system capacity? Explain your answer.

$[3$ marks$]$

b$.$ The efficiency of a factory is $\backslash (75\backslash \%\backslash )$ and its utilization $\backslash (50\backslash \%\backslash ).$ If effective capacity is $1000$ find design capacity.

$[6$ marks$]$

c$.$ A factory produces $1000$ units a month. If design capacity is $3000$ and efficiency is $\backslash (50\backslash \%\backslash )$ i$.$ Calculate the utilization rate

ii$.$ Calculate effective capacity.

$[3$ marks$]$

d$.$ An airline company must plan its fleet capacity and long$-$term schedule of aircraft usage. For one flight segment, the average number of customers per day is $70,$ which represents a $65$ percentage utilization rate of the equipment assigned to the flight segment. If demand is expected to increase to $84$ customers for this flight segment in three years, and management requires a capacity cushion of $25$ percent, calculate the following:$-$

MGMT$2026$ Production and Operations Management Semester I $2024-2025$

i$.$ the planned capacity requirement.

$[5$ marks$]$

ii$.$ the maximum number of customers the flight segment can accommodate. $[5$ marks$]$