Consider a process consisting of three resources. Each resource is staffed by two workers. Assume

the demand rate is $10$ units per hour.

$-$ Resource $1$ has a processing time of $10$ minutes per unit.

$-$ Resource $2$ has a processing time of $8$ minutes per unit.

$-$ Resource $3$ has a processing time of $6$ minutes per unit.

$($a$)$ What is the idea cycle time to meet the demand? $(15/100)$

$($b$)$ Assume the workers are paid $$20$ per hour. Each unit is sold for $$20$ and includes parts that are

sourced for $$5.$ The company has utility costs of $$10$ per hour. What would be the profits per hour if

they were able to reduce the processing time at the bottleneck by $30\%?(20/100)$