Additional problem $02-01($Algo$)$

A company is deciding which of three locations to choose for a new mail$-$order sorting facility. The table below shows each location's labor cost and overhead rate per hour.

The new facility is expected to process $200$ orders per hour with $2$ workers per $8-$hour shift.

Costs

Location $1$

Location $2$

Location $3$

Overhead $($$$/$hr$)$

$4\mathrm{.}19$

$4\mathrm{.}77$

$4\mathrm{.}57$

Labor $($$$/$hr$/$person$)$

$10\mathrm{.}6$

$9\mathrm{.}1$

$8\mathrm{.}54$

a$.$ Compute the multifactor productivity for each location. $($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$

b$.$ Which location should be chosen?