A company is planning to build a product line to produce the parts and assemble the final products. Annual

production of each model is expected to be $1,000$ units, there are $3$ different models to produce in the

factory. Each product is assembled using $50$ components, but $50\%$ of these will be purchased parts. There

is an average of $4$ processing steps required to produce each component, and each processing step takes $30$

sec$.$ Each product takes $20$min to assemble. All processing operations are performed at work cells $($each

require $20m^2$ of floor space$)$ that include a production machine and a human worker. Products are

assembled at single workstations $($each require $20m^2$ of floor space$)$ consisting of one worker each. The

factory will operate at $2,000$ hr$/$yr$.$ Determine $($a$)$ how many processing and assembly operations, $($b$)$ how

many workers, and $($c$)$ how much total floor space will be required in the plant. $(15$ Marks$)$