Problem One (10 Marks) A heavy trucks coompany has two warehouses in Muscat and Sohar and dealerships in Salalah and Alburaimi city. Every truck that is sold at the dealerships must be delivered from one of the warehouses. On a certain duy the Salalah dealers sell 10 trucks, and the Alburaimi city dealers sell 12. The Muscat warehouse has 15 trucks available, and the Sohar warchouse has 10. The cost of shipping one truck is 50 OMR from Muscat to Salalah, 40 OMR from Muscat to Alburaimi city, 60 OMR from Sohar to Salalah, and 55 OMR from Sohar to Alburaimi city. How many trucks must be shifted from each warebouse to each dealership in order to satisfy the orders at the minimum cost?