Company are planning to implement a new production line to firstly produce parts and then

assemble the final products for the production line. There will be $300$ different models

produced from the production line, while annual production is expected to reach $1500$ units.

Each product will be assembled of $85$ components, where all parts will be manufactured and

assembled in one factory.

There are an average of $30$ processing steps required to produce each component, and each

processing step takes $12$ sec$.($includes an allowance for setup time and part handling$).$ Each

final unit of product takes $2\mathrm{.}5$ hours to assemble. All processing operations are performed at

work cells that each include a production machine and a human worker.

Products are assembled on single workstations consisting of three workers each. If each work

cell and each workstation require $220$ m$2$ and the factory operates one shift $(1715$ hr$/$year$).$

Determine:

$($a$)$ how many production operations.

$($b$)$ how much floorspace.

$($c$)$ how many workers will be required in the plant.