Shown below is the data for a Transportation Problem with $3$ origins $($Bear River, Elko, and Wasatch$)$ and $4$ destinations. The supply at each origin, demand at each store, and the unit costs are shown in the following table.

$$/$unit Dest$1$ Dest$2$ Dest$3$ Dest$4$ Supply

Bear River $10111412150$

Elko $13878150$

Wasatch $15201410150$

Demand $1008090110$

a$.$ Solve the Transportation Problem to find the minimum cost shipping pattern.

Minimum Cost $=\_\_\_\_\_\_\_\_\_\_$

Fill in the table with the optimal flows: