C. 14 Allen Air Conditioning manufactures room air conditioners at plants in Houston , Phoenix , and Memphis . These are sent to regional distributors in Dallas , Atlanta , and Denver . The shipping costs vary , and the company would like to find the least-cost way to meet the demands at each of the distribution centers . Dallas needs to receive 800 air conditioners per month , Atlanta needs 600 , and Denver needs 200 . Houston has 850 air conditioners available each month , Phoenix has 650 , and Memphis has 300 . The shipping cost per unit from Houston to Dallas is $8 , to Atlanta $12 , and to Denver $10 . The cost per unit from Phoenix to Dallas is $10 , to Atlanta $14 , and to Denver $9 . The cost per unit from Memphis to Dallas is $1 1 , to Atlanta $8 , and to Denver $12 . How many units should owner Stephen Allen ship from each plant to each regional distribution center ? What is the total transportation cost ? ( Note that a " dummy ' destination is needed to balance the problem . ) PX