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 $310$ orders per hour with $2$ workers per $8-$hour shift.

$\backslash$table$[[$Cverhead $($ $ per hour$),$Location $1,$Location $2,$Location $3],[$Labor $($ $ per hour per person$),4\mathrm{.}37,5\mathrm{.}49,5\mathrm{.}02],[,10\mathrm{.}02,9\mathrm{.}9,9\mathrm{.}75]]$

a$.$ Compute the multifactor productivity for each location.

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

$\backslash$table$[[$Location $1,$orders per dollar$],[$Location $2,$orders per dollar$],[$Location $3,$orders per dollar$]]$

b$.$ Which location should be chosen? $$