Single$-$factor productivity assumptions:

$$ # of workers $=100(50$ dedicated pickers, $25$ material handlers, $25$ crew leaders and utility associates$)$

$$ Pay rate $=50$ at $$17/$hour and $50$ at $$25/$hour

$$ # of picks $=$ avg. $120$ picks per hour per worker

Multiple$-$factor productivity assumptions:

$$ # of workers $=100$

$$ Pay rate $=50$ at $$17/$hour and $50$ at $$25/$hour

$$ # of picks $=$ avg. $120$ picks per hour per worker

$$ Errors per hour$/$chargeback $($return freight and reship cost$)=12\%$ error rate per hour and the chargeback calculation is $$12$ per picked error.

$($Note: $12\%\backslash$times $120$ picks $\backslash$times $$12$ per picked error $\backslash$times $8$ hours per shift $\backslash$times $20$ shifts per month $\backslash$times $50$ pickers $=$ $$1,382,400$ per month$)$

$$ Damage and theft $=$ $$6,500/$month

Single$-$factor productivity assumptions with robots:

$$ # of workers $=50$

$$ Pay rate $=$ avg. $$29/$hour

$$ # of picks $=$ avg. $400$ picks per hour per worker

Multiple$-$factor productivity assumptions with robots:

$$ # of workers $=50$

$$ Pay rate $=$ avg. $$29/$hour

$$ # of picks $=$ avg. $400$ picks per hour per worker

$$ Errors per hour$/$chargeback $=0$ errors

$$ Lease per robot $=$ $$2,500/$month

$$ # of robots $=30$

Do not round intermediate calculations.

Calculate productivity for the private warehouse comparing existing productivity and productivity if robots were leased. Round your answers to two decimal places.

Without robots

Single$-$factor productivity $($picks per $ dollar$)$

Overall multiple$-$factor productivity $($picks per $ dollar$)$

With robots

Single$-$factor productivity $($picks per $ dollar$)$

Overall multiple$-$factor productivity $($picks per $ dollar$)$