OUESTION $1[30$ points$].$ A physician practice specializing in managing spine pathology is assessing the feasibility of adding a $C-$arm imaging unit. Implementation of $C-$arm procedures would require hiring one or more radiology technicians to assist the physician. The practice manager, being familiar with forecasting techniques, has already developed a projection of annual $C-$arm procedures, and would like to determine the target level of radiology FTEs should the Carm imaging unit be added at the practice. Table below outlines the forecasted volume of each procedure over an eight$-$month period and estimated standard hours per procedure performed by a radiology technician. Indirect support time is $0\mathrm{.}15$ hours per procedure, and constant time by all staff is two hours per day. The fringe benefit allowance is $10$ percent and the practice utilization target is $85$ percent.

$\backslash$table$[[$Procedure Description for Radiology Tech,Volume,Standard Hours$],[1.$ Operates Equipment$/$Assists Physician,$252,0\mathrm{.}46],[2.$ Explains Procedure to Patient,$252,0\mathrm{.}11],[3.$ Patient Assessment,$252,0\mathrm{.}11],[4.$ Patient Transport,$252,0\mathrm{.}11],[5.$ Documentation$/$Computer Entry,$252,0\mathrm{.}09],[6.$ Equipment Maintenance and Cleaning,$24,0\mathrm{.}19],[7.$ Ordering and Stocking Supplies,$24,0\mathrm{.}38],[8.$ Phone Calls,$252,0\mathrm{.}19],[9.$ Coordination with Physician,$125,0\mathrm{.}09],[10.$ General Cleaning Procedure Room,$252,0\mathrm{.}18],[11.$ Other Duties as Requested,$75,0\mathrm{.}11]]$

$1.$a Calculate the standard hours per month.

$1.$b Determine the required FTEs with fringe benefits.

$1.$c Determine the sensitivity of required FTEs to a $\frac{+}{-}10$ percent change in procedure volumes.