SuperValue Distribution Center has $14$ night$-$shift employees and $13$ trucks to be loaded before $3$:$00$ am$.$ The time $($number of minutes$)$ required to load each truck by employees is shown in $$Question $25$ Data.xlsx$.$

SuperValue wants to minimize the total loading time needed to complete all loading jobs, given that

$-$All trucks must be loaded

$-$All employees must be assigned to at least one loading job

$-$Truck #$2$ must be loaded by Employee #$6$

$-$Employee #$4$ must not be loading Truck #$1$

$-$Two employees must be loading Truck #$13$ assume that, for Truck #$13,$ loading times are already adjusted for a two$-$employee loading requirement

$-$Truck #$3$ must be loaded by either Employee #$3$ or Employee #$9$

Question #$25$ Based on the information provided, what is the minimum total loading time required to complete all loading jobs? Round your answer to two decimal places $($e$.$g$.,1,234\mathrm{.}56$ minutes$).$

Based on the information provided, the minimum total loading time required to complete all loading jobs is $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ minutes. Use the following narrative for Question $25$

SuperValue Distribution Center has $14$ night$-$shift employees and $13$ trucks to be loaded before $3$:$00$ am$.$ The time $($number of minutes$)$ required to load each truck by employees is shown in "Question $25$ Data.xlsx$".$

SuperValue wants to minimize the total loading time needed to complete all loading jobs, given that

$-$ All trucks must be loaded

$-$ All employees must be assigned to at least one loading job

$-$ Truck $\backslash$#$2$ must be loaded by Employee $\backslash$#$6$

$-$ Employee $\backslash$#$4$ must not be loading Truck $\backslash$#$1$

$-$ Two employees must be loading Truck $\backslash$#$13-$ assume that, for Truck $\backslash$#$13,$ loading times are already adjusted for a two$-$employee loading requirement

$-$ Truck $\backslash$#$3$ must be loaded by either Employee $\backslash$#$3$ or Employee $\backslash$#$9$

Question $\backslash$#$25$ Based on the information provided, what is the minimum total loading time required to complete all loading jobs? Round your answer to two decimal places $($e$.$g$.,1,234\mathrm{.}56$ minutes$).$

Based on the information provided, the minimum total loading time required to complete all loading jobs is minutes. $$