Two plants manufacturer cooking oil. plant a has six truck loads ready for shipment. plant b has 12 truckloads ready fro shipment. cooking oil will be delivered to three warehouses. warehouse 1 needs seven truckloads. warehouse 2 needs five truckloads. warehouse 3 needs six truckloads. shipping a truckload of cooking oil from plant a to warehouses 1,2,3 costs $25, $21, and $27, respectively. shipping a truckload of cooking oil from the plant b to warehouses 1,2, and 3 costs $23,$24, and $22 respectively. the cost per truck load is given by cn= c/n^1/3, where c is the cost of the only one truckload used for shipping to a warehouse and n is the number of truckloads shipped from a same plant to the same warehouse. formulate a mathematical model and use gams to detemine hoew many truckloads to ship from each plant to each warehouse to meet the demand of each warehouse at the lowest at the lowest total cost.