The Zephyr Television Company ships televisions from three warehouses to four retail stores on a monthly basis. Each warehouse has a fixed supply per month, and each store has a fixed demand per month. The manufacturer wants to know the number of television sets to ship from each warehouse to each store in order to minimize the total cost of transportation.

Warehouse supply of

Retail store demand

television Sets

for television sets

$1$ Cincinnati $300$

A $$ New York $150$

$2$ Atlanta $200$

B $$ Dallas $250$

$3$ Pittsburgh $200$

C $$ Detroit $200$

Total: $700$

D $$ Chicago $100$

Total: $700$