350 CHAPTER 9 - TRANSPORTATION, ASSIGNMENT ANU NETWORK MODELS By Monday, April the thes of cosas DEMAND WAS TOWN Coal Valley Costown Coal Junction Coolsbury to A cost per $14. it from 58. and shipped plant capacities, and daily project requirements are provided in the table on this page. Formulate this as a linear program to determine the least-cost way to meet the requirements. Solve using any computer software. 8. 9.9 Hardrock Concrete's owner has decided to increase the capacity at his smallest plant (see Problem 9.8). Instead of producing 30 loads of concrete per day at plant 3. that plant's capacity has been doubled to 60 loads. Does this change the schedule developed previously? 9.10 The Saussy Lumber Company ships pine flooring to three building supply houses from its mills in Pine. ville, Oak Ridge, and Mapletown. Determine the best transportation schedule for the data given in the table on this page 8:9-11 The Krampf Lines Railway Company specializes in coal handling. On Friday, April 13, Krampf had empty cars at the following towns in the quantities indicated: 9-13 Fini OX locate burgh store Using smallway yo- yo patcher constructions town. The result is het Minimizing totalme et un to new locations, como Thebe cars, 9-12 An air-conditioning and air conditioners at plant is out. The Memphis. These are gold Dallas, Atlanta, and Deer This and the company would like to way to meet the demand ach of the Game centers Dallas needs to TEC 100 ers per month, Atlanta needs and Deve 200. Houston has 850 air conditioner month, Phoenix has 650, Memphis has le pos oft the TO TOWN FROM RENO DENVER PITTSBU SUPPLY OF CARS 35 60 25 Morgantown Youngstown Pittsburgh shipping cost per unit from Houston to Dalla Table for Problem 9-8 TO FROM PROJECTA PLANT 1 S10 PLANT 2 $12 PLANT $ 9 REQUIREMENTS 40 PROJECTB $4 $5 S7 50 PROJECT C CAPACITY $11 70 $ 8 50 $ 6 30 60 Table for Problem 9-10 TO FROM PINEVILLE OAK RIDGE MAPLETOWN SUPPLY-HOUSE DEMAND SUPPLY HOUSE 1 $3 $4 $3 30 SUPPLY HOUSE 2 S3 $2 $2 30 SUPPLY HOUSE 3 $2 $3 $3 MILL CAPACITY (TONS) 25 40 30 35 Table for Problem 9-11 TO FROM COAL VALLEY MORGANTOWN 50 YOUNGSTOWN 20 PITTSBURGH 100 COALTOWN 30 COALSBURG 70 COAL JUNCTION 60 10 80 80 40 90 30