The three blood banks in Seminole County, Florida, are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital.

From$/$To Hosp $1$ Hosp $2$ Hosp $3$ Hosp $4$ Supply

Bank $1$ $$8$ $$9$ $$11$ $$1650$

Bank $2$ $$12$ $$7$ $$5$ $$880$

Bank $3$ $$14$ $$10$ $$6$ $$7120$

Demand $90704050$

a$.$ Is the problem balanced?

Yes

$,$

b$.$ How many pints of blood are you short?

$[$ Select $]$

c$.$ What is the optimal solution? $