Sagebrush Company has four warehouses $($A$,$ B$,$ C$,$ and D$)$ that require monthly shipments of $250,200,300,$ and $200$ units per

month, respectively. Its three plants $(1,2,$ and $3)$ have monthly capacities of $300,400,$ and $250,$ respectively. Plant capacities,

warehouse needs and shipping costs $($in $$)$ are shown in the following initial transportation method tableau. For example, the

shipping cost from Plant $1$ to Warehouse $A$ is $$17$ per unit.

What is the cost of a plan that ships $150$ units from $1$ to C$,150$ units from $1$ to $D,250$ units from $2$ to A$,150$ units from $2$ to C$,200$

units from $3$ to $B,$ and $50$ units from $3$ to $D?$

less than $$15,000$

more than $$15,000$ but less than $$16,000$

more than $$16,000$ but less than $$17,000$

more than $$17,000$