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4G III. Q pppppppppp.pdf Problem statement The company currently shipping from its distribution center and warehouse in Riyadh To all the urgeted other twenty-one cities the company has warehouse that is appropriate with star of the business in the region. In each city the warehouse in equipped for receiving and storing plans, and with sleeping area for the drivers Although theses warehouses cannot be used as dibution centers without upgrading the facilities to reach the company quality and Marketing department has done market research shout opportunities of selling the company's new porcelain gloe. The research has concluded that there is a loge demand on all the construction materials, including porcelain glue, especially in Riyadh, Jeddah, Mecca, and Dummam due to the large growing in construction sect Including Riyadh distribution center which has fixed cost of 200000 SAR, operations department nominated Esther Jodlah or Dammam warehouses or both to be upgraded to facilitate the distribution process. Upgrading Jeddah warehouse will add a fixed cost of 150,000 SAR and upgrading Dammam wanhou will add a fixed cost of 120,000 SAR The company has Mercedes tracks that come 19.44 liters of diesel per 100 km, each truck is equipped with 40 feet container of animal of 26 The company's safety policy states the wing 1. Total time of round-trip delivery less than 12 hours is allowed 2. One-way trip of more than 14 hours is not allowed, driver must sleep (com the company 250 SAR per trip) For quality purposes delivery must not exceed 25 The company wishes to satisfy all demand : Table [1] below shows the weekly demand of all cities ( 4 9 T 4G III. City Index C D E G 11 I J K N 0 P Q R U City Index pppppppppp.pdf Delivering Col Oway Service for 30 SAR 243 10.5 16 45 216 10 212 196 335 216 160 81 Destination Riyal Jeddah Ad D Moxa Taif Tabuk Al Hafe Al Baba Alkha Wadi Al-Da Bishah Najran Sakakah Ara't Juran Hafer Al Batin Al Majma' Al Quwait Riyadh 94 219 21 162 149 230 245 265 283 125 53 234 95 8.5 16 12 75 4 4.5 2 T 35 12 10.5 125 14 3 16.5 : ( 6 9 21 9 R 14 ST 32 . " 21 4 34 DARA 25 24 21 ON T 4G II. T D V Formation Set Warchi Distribution Constant Cij Con deliver form so Dj Demand) 01: One way time tripl R1 Round-trip time 1 Decision variables k-Riyadh distribution center o-apgrading warchouse to be a distribution, i-Jeddah warchouse, Damu wa Binary x-amount of porcelain to be deliver from distribution come i towards ) in (m) i-abc.j-N objective function in total cost mis sulj "Cij com pppppppppp.pdf 118 145 141 6.3 Hafer Al Ha AI Mai' Al Qay ( 9 12 :EV 9 T